Question

If lcm and hcf of two numbers are 900 and 30 respectively and one of the numbers is 180, then determine the other number.

Answer 1

Given'
H.C.F = 30
L.C.M = 900
One no. = 180
Let the other no. be x

We know,
First no. × Second no. = H.C.F × L.C.M
180 × x = 30 × 900
x =$\frac{30 \times 900}{180}$
x = 120

Therefore, the other no. is 120.