Find the least perfect square that is exactly divisible by 8,9 and 10
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Answer:
⇒ 3600
Step-by-step explanation:
Finding the least perfect square number divisible by each one of 8, 9 & 10.
Firstly, we have to find the least common factor of the numbers 8, 9 & 10.
So LCM of 8, 9 & 10 are ;
• See the attached file!
LCM = 2 × 2 × 2 × 3 × 3 × 5 = 360
Since , one 2 and 5 are not in pairs , we multiply them with the resultant value of LCM i.e. 360.
⇒ 2 × 5 × 360
⇒ 3600
∴ 3600 is the perfect square number that is divisible by each one of 8, 9 & 10.
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