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1. The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is ?

A. 70

B. 1690

C. 364

D. 1264

Solution:

\begin{aligned} LCM  =  1820 \\ HCF  = 26 \\ 1^{st} number  =  130 \\ LCM \times HCF \\ =  Product of numbers \\ \Rightarrow Let the other number is x \\ 130 \times x = 1820 \times 26 \\ x = \frac{1820 \times 26}{130} = 364 \end{aligned}

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