Question

Find LCM of the following numbers by listing their multiples.
(a) 12, 9
(b) 4, 5, 2
(c) 25, 15​

Answer 1

a)

Multiples of 12: 12,24,36,48,60,72,84,96

Multiples of 12: 12,24,36,48,60,72,84,96Multiples of 9: 9,18,27,36,45,54,63,72,81

Multiples of 12: 12,24,36,48,60,72,84,96Multiples of 9: 9,18,27,36,45,54,63,72,81Thus, LCM(12,9)=36.

b)

Multiples of 4: 4,8,12,16,20,24,28

Multiples of 4: 4,8,12,16,20,24,28Multiples of 5: 5,10,15,20,25,30,35,40

Multiples of 4: 4,8,12,16,20,24,28Multiples of 5: 5,10,15,20,25,30,35,40Multiples of 2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

Thus, LCM(4,5,2)=20.

C)

Multiples of 25: 25,50,75,100,125,150,175,200,225,250,275,300,325

Multiples of 25: 25,50,75,100,125,150,175,200,225,250,275,300,325Multiples of 12: Multiples of 25: 25,50,75,100,125,150,175,200,225,250,275,300,325

Thus, LCM(25,12)=300.

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Answer 2

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