Find the smallest perfect square, exactly divisible by each of the numbers 6,8,12 and 15. answer only if u know otherwise ignore
Answers
Answer:
3600
Step-by-step explanation:
Take LCM of (6,8,12 and 15) = 120
Resolving 120 into prime factors, we get
120 = 2*2*2*3*5
Here 2 is grouped in pairs of equal factors. But 2, 3 and 5 are not grouping in pairs of equal factors.
Let us multiply 2, 3 and 5 , we get a grouped in pairs of equal factors.
120*2*3*5 = 2*2*2*2*3*3*5*5
3600 = 2*2*2*2*3*3*5*5
Now 3600 is perfect square that is divisible by 6, 8, 12, and 15.
Take LCM of (6,8,12 and 15) = 120
Resolving 120 into prime factors, we get
120 = 2*2*2*3*5
Here 2 is grouped in pairs of equal factors. But 2, 3 and 5 are not grouping in pairs of equal factors.
Let us multiply 2, 3 and 5 , we get a grouped in pairs of equal factors.
120*2*3*5 = 2*2*2*2*3*3*5*5
3600 = 2*2*2*2*3*3*5*5
Now 3600 is perfect square that is divisible by 6, 8, 12, and 15.
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