1. Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.
2. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.
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1.
Step 1: We need to find the LCM of the given numbers.
LCM of 4, 10, 9 is ⇒
Step 2: Now we need to pair the primes.
∴ 5 doesn't have a pair.
Step 3: So now we multiply 5 to 180.
∴ 900 is the smallest square number that is divisible by each of the numbers 4, 9 and 10.
2.
Step 1: We need to find the LCM of the given numbers.
LCM of 8, 15, 20 is ⇒
Step 2: Now we need to pair the primes.
∴ 5, 2 and 3 doesn't have a pair.
Step 3: So now we multiply to 120
∴ 3600 is the smallest square number that is divisible by each of the numbers 8, 15 and 20.
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