Question
Download Solution PDFThe LCM of 56, 30, 108 and 120 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Numbers: 56, 30, 108, 120
Formula Used:
LCM of given numbers is found using their prime factorization and then taking the highest power of each prime factor.
Calculation:
Prime factorization:
56 = 23 × 7
30 = 2 × 3 × 5
108 = 22 × 33
120 = 23 × 3 × 5
LCM = 23 × 33 × 5 × 7
⇒ LCM = 8 × 27 × 5 × 7
⇒ LCM = 216 × 5 × 7
⇒ LCM = 1080 × 7
⇒ LCM = 7560
The LCM of 56, 30, 108, and 120 is 7560.
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