Q11Written answer
Find the LCM of the following numbers in which one number is the factor of the other.
(a) 5, 20 (b) 6, 18 (c) 12, 48 (d) 9, 45
What do you observe in the results obtained?
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Worked solution
(a) 5, 20
LCM = 2 × 2 × 5 = 20
(b) 6, 18
LCM = 2 × 3 × 3 = 18
(c) 12, 48
LCM = 2 × 2 × 2 × 2 × 3 = 48
(d) 9, 45
LCM = 3 × 3 × 5 = 45
∴ Hence, in each case the LCM of given numbers is the larger number. When a number is a factor of other number then their LCM will be the larger number.
Disclaimer:
Dropped Topic – 3.6 Some more divisibility rules.