Question

12,144,96,120,168 Find the LCM
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Answer 1

Answer:

LCM = 10,080

Solution by Greatest Common Factor

LCM(12, 96, 120, 144, 168) =

LCM(LCM(LCM(LCM(12, 96), 120), 144), 168)

Working from the innermost parentheses outward:

LCM(12,96) = (12 × 96) / GCF(12,96)

= (12 × 96) / 12

= 1152 / 12

= 96

LCM(96,120) = (96 × 120) / GCF(96,120)

= (96 × 120) / 24

= 11520 / 24

= 480

LCM(480,144) = (480 × 144) / GCF(480,144)

= (480 × 144) / 48

= 69120 / 48

= 1440

LCM(1440,168) = (1440 × 168) / GCF(1440,168)

= (1440 × 168) / 24

= 241920 / 24

= 10080

Therefore,

LCM(12, 96, 120, 144, 168) = 10,080

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