Question

Find theLCM of the following numbers in which one number is the factor of theother.

(a) 5, 20 (b) 6, 18

(c) 12,48 (d) 9, 45

What doyou observe in the results obtained?

Answer 1

(a)

2	5, 20
2	5, 10
5	5, 5
	1, 1

LCM = 2 ×2 × 5 = 20

(b)

2	6, 18
3	3, 9
3	1, 3
	1, 1

LCM = 2 ×3 × 3 = 18

(c)

2	12, 48
2	6, 24
2	3, 12
2	3, 6
3	3, 3
	1, 1

LCM = 2 ×2 × 2 × 2 × 3 = 48

(d)

3	9, 45
3	3, 15
5	1, 5
	1, 1

LCM = 3 ×3 × 5 = 45

Yes, itcan be observed that in each case, the LCM of the given numbers isthe larger number. When one number is a factor of the other number,their LCM will be the larger number.