Question

find the least number which when divided by 12,12,24,36 leaves remainder as 7?

Answer 1

Answer:

79

Step-by-step explanation:

For this particular sum we need to find the LCM of the given numbers.

The smallest number which when divided by 12 12 24 and 36 = LCM of 12 12 24 and 36

12 = 2×2×3

24 = 2×2×2×3

36 = 2×2×3×3

LCM = 72

The smallest number which divides 12,12,24 and 36 is 72. But we have a condition that it leaves a remainder of 7. So we add 7 to the LCM (72+7=79).

Hence the smallest number that when divided by 12 12 24 and 36 leaves a remainder 7 is 79.

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