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

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{LCM = 1820}} \cr & {\text{HCF = 26}} \cr & {{\text{1}}^{{\text{st}}}}{\text{ number = 130}} \cr & {\text{LCM}} \times {\text{HCF }} \cr & {\text{ = Product of numbers}} \cr & \Rightarrow {\text{Let the other number is }}x{\text{ }} \cr & 130 \times x = 1820 \times 26 \cr & x = \frac{{1820 \times 26}}{{130}} = 364 \cr} $$