The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is__________?
Correct answer: D. 48
- A. 12
- B. 16
- C. 24
- D. 48
Explanation
The numbers are 3k and 4k, and because 3 and 4 are co-prime, their H.C.F. is k. Hence k = 4, so the numbers are 12 and 16, and their L.C.M. is 3 x 4 x 4 = 48. The common mistake is 16, which is one of the numbers rather than their L.C.M.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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