Question

2. Find the LCM of the following numbers
by prime factorisation.
a) 32, 48
b) 21, 42
c) 50, 25, 75 d) 32, 44, 22
e) 12, 15, 14 f) 72, 56, 63​

Answer 1

a) 32 => 2*2*2*2*2

48 => 2*2*2*2*3

LCM = 2*2*2*2 = 16

b) 21 => 3*7

42 => 2*3*7

LCM = 3*7 = 21

c) 50 => 2*5*5

25 => 5*5

75 => 3*5*5

LCM = 5*5 = 25

d) 32 => 2*2*2*2*2

44 => 2*2*11

22 => 2*11

LCM = 2

e) 12 => 2*2*3

15 => 3*5

14 => 2*7

LCM = 1

f) 72 => 2*2*2*3*3

56 => 2*2*2*7

63 => 3*3*7

LCM = 1

HOPE THIS HELPS