Question

HCF of two numbers is 17.If the numbers are in the ratio 3:7,then their LCM is​

Answer 1

$\huge\color{aqua}LCM\:is\:357$

Second Number be = 7 $x$

L.C.M×H.C.F = Product of two numbers

L.C.M×17 = $3x×7x$

L.C.M = $\frac {21 {x}^{2}}{17}$

L.C.M of two numbers = 21$x$

$21x =\frac{21{x}^{2}}{17}$

$x =\frac {21{x}^{2}}{17×21}$

$x = \frac{{x}^{2}}{17}$

$x = 17$

L.C.M = $\frac {21×{x}^{2}}{17}$

$\: \: \: \: \: \: \: \: = \frac{21 \times 17 \times 17}{17}$

$\: \: \: \: \: \: \: \: = 357$

$\bold\green {HOPE\:IT\:HELPs\:YOU}$