What is the smallest square number, which is divisible by 2,4,5,6 and

1.	What is the smallest square number, which is divisible by 2,4,5,6 and 9 ?
Answer» Answer: Smallest square NUMBER, which is divisible by 2,4,5,6 and 9 is 900. Step-by-step explanation: LCM = 2 = 2 = 2 4 = 2 x 2 = 22 5 = 5 = 5 6 = 2 x 3 = 2 x 3 9 = 3 x 3 = 32 The Product of all factors with highest powers LCM = 2^2 x 3^2 x 5 = 2 x 2 x 3 x 3 x 5 LCM = 180 square No. = 2 x 2 x 3 x 3 x 5 x 5 = 900

What is the smallest square number, which is divisible by 2,4,5,6 and 9 ?

Answer»

Answer:

Smallest square NUMBER, which is divisible by 2,4,5,6 and 9 is 900.

Step-by-step explanation:

LCM = 2 = 2 = 2
4 = 2 x 2 = 22
5 = 5 = 5
6 = 2 x 3 = 2 x 3
9 = 3 x 3 = 32

The Product of all factors with highest powers LCM = 2^2 x 3^2 x 5 = 2 x 2 x 3 x 3 x 5

LCM = 180

square No. = 2 x 2 x 3 x 3 x 5 x 5 = 900

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What is the smallest square number, which is divisible by 2,4,5,6 and 9 ?

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