Answer:
= 120
Step-by-step explanation:
1. find the prime factors of 12.
12 = 6 × 2
ㅤ6 = 3 × 2
- therefore the prime factors of 12 are 2 and 3.
2. find the prime factors of 20.
20 = 10 × 2
ㅤ10 = 2 × 5
- therefore the prime factors of 20 are 2 and 5.
3. find the prime factors of 24.
24 = 12 × 2
ㅤ12 = 6 × 2
ㅤ6 = 3 × 2
- therefore the prime factors of 24 are 2 and 3.
the prime factors 3 and 5 occur one time, while 2 occurs more than once.
the least common multiple is the product of all factors in the greatest number of their occurrence.
LCM = 2³ × 3 × 5
the least common multiple of 12, 20 and 24 is 120.
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