Find the lcm of 108,288,360
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Answer:
108 = 22 • 33
288 = 25 • 32
360 = 23 • 32 • 5
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Decompose all numbers into prime factors
108 2 54 2 27 3 9 3 3 3 1 288 2 144 2 72 2 36 2 18 2 9 3 3 3 1 360 2 180 2 90 2 45 3 15 3 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 108 = 22 . 33
Prime factors of 288 = 25 . 32
Prime factors of 360 = 23 . 32 . 5
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