The least perfect square, which is divisible by each of 21, 36 and 66 is:
a. 213444
b. 214344
c. 214434
d. 231444
Answers
Answered by
2
The correct answer for this will be 213444
Answered by
13
Hey sup!
As per the question,
21=3×7.
36=2×2×3×3.
44=2×2×11.
LCM of 21,36and 44 is 2×2×3×3×7×11=2772.
We can clearly see 2 and 3 is in pair but 7 and 11 is not so if we multiply 2772 by 11×7=77, the resultant number will be a perfect square and divisible by 21,36and 44.
2772×77=213444(Option A).
Hope it helps.
As per the question,
21=3×7.
36=2×2×3×3.
44=2×2×11.
LCM of 21,36and 44 is 2×2×3×3×7×11=2772.
We can clearly see 2 and 3 is in pair but 7 and 11 is not so if we multiply 2772 by 11×7=77, the resultant number will be a perfect square and divisible by 21,36and 44.
2772×77=213444(Option A).
Hope it helps.
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