Question

The product of two numbers is 2160 and their hcf is 12. Find their L.C.M​

Answer 1

Answer:given,

Number = 12x and12y

where x and y are prime to each other

now,

12x × 12y= 2160

=>xy= 2160/12×12

= 15

° . ° 15= 3×15,1× 15

possible pairs =( 36,60),(12,80) ,hence answer is 2

..........

............

now we get

product of the two numbers/HCF of the two numbers

=2160/12

=180

ANS:-180

Step-by-step explanation:

Answer 2

Product of 2 no.s= HCF*LCM

2160=12*LCM

LCM=2160/12

LCM=180