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Two numbers are in the ratio 5 : 6 and their HCF is 4. What is their LCM?

1. 100
2. 120
3. 110
4. 130

Correct answer: 120

Solution

When two numbers are in ratio 5:6 with HCF 4, the numbers are 20 and 24. LCM x HCF = product of numbers => LCM = (20 x 24)/4 = 480/4 = 120. Alternatively, LCM = HCF x (ratio product) = 4 x 5 x 6 = 120.

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