What is the least number which when divided by 24 and 36 leaves in each case the same remainder?

Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case.

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Solution

We first find the LCM of 12, 16, 24, and 36 as follows:

What is the least number which when divided by 24 and 36 leaves in each case the same remainder?

Thus, LCM = 2 × 2 × 2 × 2 × 3 × 3 = 144

144 is the least number which when divided by the given numbers will leave remainder 0 in each case. But we need the least number that leaves remainder 7in each case.
Therefore, the required number is 7 more than 144.

The required least number = 144 + 7 = 151.

Concept: Lowest Common Multiple

  Is there an error in this question or solution?

Hence, 221 is required number.

Nội dung chính

  • What is the least number which when divided by 24 and 36 leaves in each case the remainder 8?
  • What is the smallest number which when divided by 24 36 54 gives a remainder of 5 each time?
  • What is the least number which when divided by 24 28 and 35 leaves 3 as remainder in each case?
  • What is the least number which when divided by 36 and 48 leaves 8 as remainder in each case?
  • Find the least number which when divided by 35, 56, 91 leaves the same remainder 7 in each case
  • What is the least number which when divided by 36 48 and 64 it leaves a remainder of 25 37 and 53 respectively?
  • What is the least possible number which when divided by 24 32 or 42 in each case it leaves the remainder 5?
  • What is the lowest number which is divisible by 24 28 and 35 leaving 5 as remainder in each case?
  • What is the smallest number which when divided by 27 36 and 57 gives a remainder of 5 in each case?
  • What is the least number which when divided by 21 28 36 45 leaves remainder 5 in each case?
  • What is the LCM of 24 36 and 54?
  • What is the smallest number that when divided by 36 54 and 72 leaves remainder of 6 in each case?
  • What least number when divided by 36 24 and 16 leaves 11 as remainder in each case ?( Hint find LCM then add 11 to LCM?
  • What is the least number of soldiers that can be arranged in 24 36 48 in each row?
  • What is the number which divide by 24 32 and 36 and leaves remainder 19 27 and 31 respectively?
  • What is the least number which when divided by 15 24 and 36 leaves remainders 9 18 and 30 respectively?
  • What is the smallest number which when divided by 24 36 and 72 gives remainder of 5 each time also if A is the multiple of B then what is the LCM of A and B?
  • What is the smallest number which when divided by 39 52 and 91 leaves a remainder of 13 in each case?
  • What is the smallest number which when divided by 7 18 56 and 36 leaves a remainder zero?
  • What is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively?
  • What is the smallest number when divided by 35 56 and 91 leaves remainder 7 in each case?
  • What is the smallest number when decreased by 5 is divisible by 16 24 30and32?
  • What is the LCM of 24 32 and 42?
  • What is the least possible number which when divided by 15 25 30?
  • What is the least possible number?
  • What is the least number which when divided by 24 36 and 54 give a remainder of 5 each time?
  • What least number when divided by 36 24 and 16 leaves 11 as remainder in each case ?( Hint find LCM then add 11 to LCM?
  • What is the smallest number which when divided by 24 30 and 54 leaves a remainder of 5 in each case?
  • What is the least number which when divided by 24 28 and 35 leaves 3 as remainder in each case?

What is the least number which when divided by 24 and 36 leaves in each case the remainder 8?

Answer. The least number which when divided by 24 and 36 leaves a remainder 8 in each case is 80.

What is the smallest number which when divided by 24 36 54 gives a remainder of 5 each time?

What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5 each time? Therefore, the smallest number which when divided by 24, 26 and 54 gives a remainder of 5 each time is 221.

What is the least number which when divided by 24 28 and 35 leaves 3 as remainder in each case?

5 is your answer....

What is the least number which when divided by 36 and 48 leaves 8 as remainder in each case?

if we divide 440 by 48 and 36 leaves 8 as remainder.

Find the least number which when divided by 35, 56, 91 leaves the same remainder 7 in each case

What is the least number which when divided by 36 48 and 64 it leaves a remainder of 25 37 and 53 respectively?

10 Find the least number which when divided by 36, 48 and 64 leaves the remainders 25, 37 and 53, respectively. Sol. Since (36 – 25) – (48 – 37) = (64 – 53) = 11, therefore the required smallest number (LCM of 36, 48 and 64) –11 = 576 – 11 = 565.

What is the least possible number which when divided by 24 32 or 42 in each case it leaves the remainder 5?

Solution : Since we know that the LCM of 24 , 32 , and 42 is divisible by the given numbers . So the required number = (LCM of 24, 32 , 42) + ( 5 ) = 672 + 5 = 677 <br> Hence such a least possible number is 677.

What is the lowest number which is divisible by 24 28 and 35 leaving 5 as remainder in each case?

Answer = 216+5=221.

What is the smallest number which when divided by 27 36 and 57 gives a remainder of 5 in each case?

The smallest number which when divided by 18,27, and 36 leaves a remainder 5 in each case is 113.

What is the least number which when divided by 21 28 36 45 leaves remainder 5 in each case?

Step-by-step explanation:

LCM = 2^4 X 7 X 5 (Taking the highest power of the nos.) So 560 Is the smallest number which the above three nos divide . But what is requested is that the smallest number which leaves the remainder 5.

What is the LCM of 24 36 and 54?

Answer: LCM of 24, 36, and 54 is 216.

What is the smallest number that when divided by 36 54 and 72 leaves remainder of 6 in each case?

Answer: LCM of 36, 54, and 72 is 216. Explanation: The LCM of three non-zero integers, a(36), b(54), and c(72), is the smallest positive integer m(216) that is divisible by a(36), b(54), and c(72) without any remainder.

What least number when divided by 36 24 and 16 leaves 11 as remainder in each case ?( Hint find LCM then add 11 to LCM?

144 is the LCM of 36, 24 and 16. ∴ 155 is the least number when divided by 36, 24 and 16 leaves 11 as remainder in each case.

What is the least number of soldiers that can be arranged in 24 36 48 in each row?

Answer. Hence, 141 is the smallest number when divided by 24, 36 and 48 leave remainders 21, 33 and 45 respectively.

What is the number which divide by 24 32 and 36 and leaves remainder 19 27 and 31 respectively?

∴ The smallest number is 283, divisible by 24, 32 and 36 and leaves the remainder 19, 27 and 31 respectively.

What is the least number which when divided by 15 24 and 36 leaves remainders 9 18 and 30 respectively?

∴ The required number is 1089.

What is the smallest number which when divided by 24 36 and 72 gives remainder of 5 each time also if A is the multiple of B then what is the LCM of A and B?

Hence, 221 is required number.

What is the smallest number which when divided by 39 52 and 91 leaves a remainder of 13 in each case?

Therefore, 1105 is the smallest no when divided by 39, 52, 91 and leaves 13 as remainder in each case.

What is the smallest number which when divided by 7 18 56 and 36 leaves a remainder zero?

Hence, the smallest number which is exactly divisible (leaves remainder 0) by 7, 18, 56 and 36 is 504.

What is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively?

The smallest number which when divided by 28 and 32 leaves remainder 8 and 12 is 204.

What is the smallest number when divided by 35 56 and 91 leaves remainder 7 in each case?

The smallest number that when divided by 35, 56, 91 leaves a remainder 7 in each case = 3640 + 7 = 3647.

What is the smallest number when decreased by 5 is divisible by 16 24 30and32?

∴ Required number is 175.

What is the LCM of 24 32 and 42?

Calculate the LCM

The least common multiple of 24, 32 and 42 is 672.

What is the least possible number which when divided by 15 25 30?

Answer: LCM of 15, 25, and 30 is 150.

What is the least possible number?

With that in mind, let's get back to our question: What is the smallest non-zero number? If we only have three digits to spare, the smallest possible number is 0.01. With four digits, it's 0.001.

What is the least number which when divided by 24 36 and 54 give a remainder of 5 each time?

What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5 each time? Therefore, the smallest number which when divided by 24, 26 and 54 gives a remainder of 5 each time is 221.

What least number when divided by 36 24 and 16 leaves 11 as remainder in each case ?( Hint find LCM then add 11 to LCM?

This is Expert Verified Answer 155 is the least number when divided by 36, 24 and 16 leaves 11 as remainder in each case. 144 is the LCM of 36, 24 and 16. ∴ 155 is the least number when divided by 36, 24 and 16 leaves 11 as remainder in each case.

What is the smallest number which when divided by 24 30 and 54 leaves a remainder of 5 in each case?

Step-by-step explanation: LCM(24, 30, 54)= 2*2*2*3*3*3*5=1080.

What is the least number which when divided by 24 28 and 35 leaves 3 as remainder in each case?

5 is your answer....

What is the least number which when divided by 24 and 36 leaves in each case the same reminder?

Hence a = 144.

What is the least number which when divided by 24 36 and 54 give a remainder of 5 each time?

What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5 each time? Therefore, the smallest number which when divided by 24, 26 and 54 gives a remainder of 5 each time is 221.

What is the smallest number to divide 24 and 36?

The LCM of two non-zero integers, 24 and 36, is the smallest positive integer 72 which is divisible by both 24 and 36 with no remainder.

What is the smallest number which when divided by 24 30 and 36 leaves a remainder 7 in each case?

Answer: 9 is the smallest number when divided by 24, 30 and 36 leaves a remainder of 7.