Question

Find the least perfect square which is divisible by each one of 8 9 and 10​

Answer 1

Step-by-step explanation:

L.C.M. of 8,9and 10 is

2 |8,9,10

2 |4,9,5

2 |2,9,5

3 |1,3,5

3 |1,1,5 => 2×2×2×3×3×5 =>360. Now we need to multiply it by 2 and then by 5 hence 3600 is the least perfect square which is divisible by each one of 8,9,10. Hope it helps you.

Answer 2

Step-by-step explanation:

LCM of 8,9 and 10 = 360 .

Resolving 360 into prime factor :-

360 = 2 × 2 × 2 × 5 × 3 × 3

√360 = 2×2×2×5×3×3

360 = 2 × 3 √ 2×5

360 = 6√10

Hence, 360 = 360 × 10 = 3600

Hence the required number is 3600

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