Question 112

The least number which is a perfect square and is divisible by each of the numbers 14, 16, 18 is

Solution

The least number that is divisible by 14,16,18 will be the LCM of three which is 1008 but it is not a perfect square .

$$1008=2^4\cdot3^2\cdot7^{ }$$ To make it a perfect square you need to multiply it by 7.

1008*7=7056

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