How can you use number patterns to find the least common multiple of 120 and 360?
Answer (2)
L CM i s t h e l e a s t co mm o n n u mb er t ha t i s m u lt i pl y o f b o t h : 120 : 2 60 : 2 30 : 2 15 : 3 5 : 5 360 : 2 180 : 2 90 : 2 45 : 5 9 : 3 3 : 3 L CM = 2 3 ∗ 3 2 ∗ 5 = 8 ∗ 9 ∗ 5 = 360 T h e l e a s t co mm o n m u lt i pl e i s 360.
To find the least common multiple of 120 and 360, perform prime factorization for both numbers, take the highest power of each prime factor, and multiply them together. The result is LCM = 360. You can also verify this by listing the multiples of both numbers; the first common multiple is 360.
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