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Find the least number when divided by 12 16 and 24 leaves remainder 7?
Most Upvoted Answer
Find the least number when divided by 12 16 and 24 leaves remainder 7?
Explanation:
To find the least number that leaves a remainder of 7 when divided by 12, 16, and 24, we need to find the least common multiple (LCM) of these three numbers and then add 7 to get the desired number.

Finding the LCM of 12, 16, and 24:
- Prime factorization of 12: 12 = 2 * 2 * 3
- Prime factorization of 16: 16 = 2 * 2 * 2 * 2
- Prime factorization of 24: 24 = 2 * 2 * 2 * 3
Now, we take the highest power of each prime factor:
- LCM = 2^4 * 3 = 48

Calculating the desired number:
To find the desired number, we add the remainder (7) to the LCM:
- Desired number = LCM + 7 = 48 + 7 = 55
Therefore, the least number that leaves a remainder of 7 when divided by 12, 16, and 24 is 55.
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Find the least number when divided by 12 16 and 24 leaves remainder 7?
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