Question

If L.C.M. of two numbers is 2520 and H.C.F. is 12. If one of the numbers is 504 , then other number will be
A.50
B.65
C.40
D.60

Answer 1

Hint: Here we are given with H.C.F. and L.C.M. of the two numbers .So we will use the formula,
Product of two numbers = L.C.M x H.C.F of the numbers

Complete step-by-step answer:
Here we are given with L.C.M and H.C.F of the numbers.
Using the formula,
 Product of two numbers = \[L.C.M. \times H.C.F\] of the numbers
Let the other number be N.
\[
   \Rightarrow 504 \times N = 2520 \times 12 \\
   \Rightarrow N = \dfrac{{2520 \times 12}}{{504}} \\
   \Rightarrow N = 5 \times 12 \\
   \Rightarrow N = 60 \\
\]
Thus another number is 60.
So , option D is correct.

Additional information:
H.C.F. stands for highest common factor.
H.C.F of two numbers is never greater than those two numbers of which H.C.F. is found out.
If we are about to find the H.C.F of co-prime numbers then it is always 1.
L.C.M. stands for lowest common multiple.
L.C.M. of two numbers is never less than those two numbers whose L.C.M. is found out.
If we are about to find the L.C.M. of co-prime numbers then it is always equal to their product..

Note: Here one number is already given to us .So just use this formula,
Product of two numbers = \[L.C.M. \times H.C.F\] of the numbers