Powers and Roots Practice Test 5

Question : 2 of 31

Marks: +1, -0

Find the least square number which is exactly divisible by 7, 14, 9 and 21.

Solution:

The LCM of 7, 14, 9, and 21 is 126.
So,

126 = 2 × 3 × 3 × 7

= 2 × 32 × 7

To make it a perfect square, it must be multiplied by

2 × 7 = 14

.
∴ Required number

=(2^2×3^2×7)=1764

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