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Aptitude · Q168

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 168

Q168

The least perfect square, which is divisible by each of 21, 36 and 66 is:

A.
214344
B.
214434
C.
213444
Answer
D.
231444

Answer: Option C

Solution

Answer: Option C
Solution:
LCM of (21, 36, 66)
= 21 × 12 × 11
= 7 × 3 × 4 × 3 × 11
= 7 × 3 × 2 × 2 × 3 × 11
For perfect square multiply by 7 × 11
So that pairs of number from perfect square
7×7 × 3×3 × 2×2 × 11×11
Required result is (which is perfect square) ⇒ 213444