Question:
If HCF (26, 169) = 13, then LCM (26, 169) =
(a) 26
(b) 2
(c) 3
(d) 4
Solution:
$\operatorname{HCF}(26,169)=13$
We have to find the value for $\operatorname{LCM}(26,169)$
We know that the product of numbers is equal to the product of their HCF and LCM.
Therefore,
$13(\mathrm{LCM})=26(169)$
$\mathrm{LCM}=\frac{26(169)}{13}$
$\mathrm{LCM}=338$
Hence the correct choice is (c).
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