Question 100

Find the least perfect square that is divisible by 21, 36 and 66.

Solution

21, 36 and 66.

we have to first calculate lcm

21 = $$3\times 7$$

36 =$$2\times 2\times 3\times 3$$

66=$$2\times 3\times 11$$

lcm = $$2\times 2\times 3\times 3\times 7\times 11 =2772$$

so the no = $$\frac{213444}{2772} = 77$$

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