Four numbers are 2^2 x 3 x 5, 2 x 3^2 x 5, 2^3 x 3 x 5^2 and 2^2 x 3^2 x 5. If X is their HCF and Y is their LCM, find the value of Y/X.

Question

Accepted Answer

60. HCF X uses the lowest powers: 2^1 x 3^1 x 5^1 = 30. LCM Y uses the highest powers: 2^3 x 3^2 x 5^2 = 8 x 9 x 25 = 1800. Y/X = 1800/30 = 60.

Four numbers are $2^{2} \times 3 \times 5, 2 \times 3^{2} \times 5, 2^{3} \times 3 \times 5^{2}$ and $2^{2} \times 3^{2} \times$ 5.
If $X$ is their HCF and $Y$ is their LCM, find the value of $\frac{Y}{X}$ .