Question

the two numbers are 36 and 48 . if the hcf of these numbers is 12 , find their lcm

Answer 1

Hi ,

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If a , b are two numbers and h , l are

their HCF and LCM then

h × l = a × b

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Here ,

a = 36 , b = 48 ,

h = 12 , l = ?

h × l = a × b

l = ( a × b )/h

l = ( 36 × 48 )/12

l = 36 × 4

l = 144

Therefore ,

LCM ( 36 , 48 ) = 144

I hope this helps you.

: )

Answer 2

we know that :

Product of two Numbers = HCF x LCM

Finding the product of two numbers

36 x 48 = 1728

given - HCF = 12

1728 = 12 x LCM

LCM = 1728/12

LCM = 144.

$\bold{LCM \: = \: 144}$