Discussion
Three numbers are in the ratio 1 : 2 : 3 and their LCM is 720. The HCF of these numbers is:
Answer: B
The HCF is 120. Let the numbers be x, 2x and 3x. Their LCM is 6x, so \[ 6x = 720 \Rightarrow x = 120 \] The HCF of x, 2x and 3x is x, which is 120.
The other values do not satisfy 6x = 720.
A check: the three numbers are 120, 240 and 360, whose LCM is 720 and whose HCF is 120, so the answer follows directly.
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