Question

Find the L.C.M. of 25, 30, 42 and 45.​

Answer 1

Answer:

LCM(25, 30, 42, 45) =

LCM(LCM(LCM(25, 30), 42), 45)

Working from the innermost parentheses outward:

LCM(25,30) = (25 × 30) / GCF(25,30)

= (25 × 30) / 5

= 750 / 5

= 150

LCM(150,42) = (150 × 42) / GCF(150,42)

= (150 × 42) / 6

= 6300 / 6

= 1050

LCM(1050,45) = (1050 × 45) / GCF(1050,45)

= (1050 × 45) / 15

= 47250 / 15

= 3150

Therefore,

LCM(25, 30, 42, 45) = 3150