Find the smallest square number that is divisible by each of the numbers 4, 9 and
10.
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Step 1. Take out the LCM of 4, 9, 10 = 180
Step 2. Now prime factors of 180 = 2 x 2 x 5 x 3 x 3.
Step 3. Since we need a perfect square number and in prime factors of 180, only pair of 5 is missing.
So required number is 2x2x3x3x5x5 = 900.
Step 2. Now prime factors of 180 = 2 x 2 x 5 x 3 x 3.
Step 3. Since we need a perfect square number and in prime factors of 180, only pair of 5 is missing.
So required number is 2x2x3x3x5x5 = 900.
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