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Least common multiple (LCM) by prime factorization
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lcm(120,135,180)
This solution deals with the least common multiple (LCM) by prime factorization.
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Least common multiple (LCM) by prime factorization
1. Find the prime factors of 120
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Tree view of the prime factors of 120: 2, 2, 2, 3 and 5
The prime factors of 120 are 2, 2, 2, 3 and 5.
2. Find the prime factors of 135
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Tree view of the prime factors of 135: 3, 3, 3 and 5
The prime factors of 135 are 3, 3, 3 and 5.
3. Find the prime factors of 180
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Tree view of the prime factors of 180: 2, 2, 3, 3 and 5
The prime factors of 180 are 2, 2, 3, 3 and 5.
4. Build a prime factors table
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5. Calculate the LCM
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Alternative approach