Find the least number which is exactly divisible by each of the number 8,12,12&20. In square root method
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Answer:
Find the LCM of given numbers. Square it to get the answer.
8 = 2^3
12 = 2^2 * 3
15 = 3 * 5
20 = 2^2 * 5
LCM = 2^3 * 3 * 5
= 120
Answer = LCM^2
= 14400
Find the LCM of the given numbers(which is 120 in this case)
Find the prime factorisation of the LCM
(120 = 2^3 *3 *5)
Now multiply the LCM by prime factors so that all the prime factors will have even multiplicities.
Answer = (2^3 * 3* 5) * (2*3*5)
= 2^4 * 3^2 * 5^2
= 3600
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