Find the least square number exactly divisible by 8, 12, 15 and 20.
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3
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Hopr you will understand
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Answered by
1
Answer:
3600
Step-by-step explanation:
prime factors:
8 = 2 x 2 x 2
12 = 2 x 2 x 3
15 = 3 x 5
20 = 2 x 2 x 5
combine common factors to find LCM (Least Common Multiple):
2 x 2 x 2 x 3 x 5 = 120
*120 is not a square number because every prime factor needs a pair
*we need another 2, 3, and 5 to complete the pairs
multiply by 2, 3, and 5:
(2 x 2) x (2 x 2) x (3 x 3) x (5 x 5) = 3,600
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