Question

if the h.c.f of two numbers 144 and 420 is 12 then the l.c.m is ​

Answer 1

Product of the two numbers =LCM×HCF

144×420=LCM×12

LCM=(144×420)÷12

LCM=60,480÷12

LCM=5,040

Answer 2

formula :-

HCF × LCM = product of both the numbers

let x is the LCM .

hence , according to question

12 × x = 144 × 420

$x \: = \frac{144 \times 420}{12}$

$x = 12 \times 420$

$x = 5040$

hence , LCM of 144 and 420 is 5040 .