Question
The given numbers are in the ratio 2:5:6, and their
highest common factor (HCF) is 15. Determine the least common multiple (LCM) of these numbers.Solution
Since, HCF of given numbers is 15. So, numbers are 15 x 2 = 30, 15 x 5 = 75 and 15 x 6 = 90 30 = 2 x 3 x 5 75 = 3 x 5 x 5 = 3 x 52 90 = 2 x 3 x 3 x 5 = 2 x 32 x 5 Therefore, required LCM = 2 x 32 x 52 = 450
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