find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20. Please answer this as soon as possible.
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find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20. Please answer this as soon as possible.
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your answer is ::
900!!!
Step-by-step explanation:
Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 20
First we find least number which is exactly divisible by numbers 6,9,15 and 20
For that we need to find LCM
6 = 2 × 3
9 = 3 × 3
15 = 3 × 5
20 = 2 × 2 × 5
LCM = 2 × 2 × 3 × 3 × 5 = 180
LCM = 2²×3²×5
To make it perfect square we need to multiply it by 5
= 2² × 3² × 5²
= 30²
= 900
900 is the least square number which is exactly divisible by each of the numbers 6,9,15 and 20!