What is the least multiple of 7 which leaves a remainder of 4, when divided by 6, 9 and 15?

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184

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364

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Solution

The correct option is D 364
LCM of 6, 9 and 15 = 90
6 = 2 × 3
9 = 3 × 3
15 = 3 × 5
LCM = 2 × 3 × 3 × 5 = 90

Out of the given options, only 364 is divisible by 7.
364 ÷ 7 = 52

Now, 364 ÷ 90 leaves the remainder 4.

Thus, 364 is the least multiple of 7 which leaves a remainder of 4, when divided by 6, 9 and 15.

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