the HCF of two numbers is 12 if one number is 4 times the HCF and the other is 5 times the HCF then find the LCM of these numbers
Answers
Answered by
5
HCF = 12
one no. = 4*12 =48
other is =5*12=60
lcm of 48 and 60=240
one no. = 4*12 =48
other is =5*12=60
lcm of 48 and 60=240
Answered by
8
Heya !!
HCF of two numbers = 12.
One number = 4 × ( HCF ) = 4 × 12 = 48
Other number = 5 × ( HCF ) = 5 × 12 = 60.
To find : LCM of two numbers = ?.
As we know that,
One number × Other number = HCF × LCM
48 × 60 = 12 × LCM
LCM = ( 48 × 60 ) /12
LCM = 240.
Hence,
LCM of two numbers = 240.
HCF of two numbers = 12.
One number = 4 × ( HCF ) = 4 × 12 = 48
Other number = 5 × ( HCF ) = 5 × 12 = 60.
To find : LCM of two numbers = ?.
As we know that,
One number × Other number = HCF × LCM
48 × 60 = 12 × LCM
LCM = ( 48 × 60 ) /12
LCM = 240.
Hence,
LCM of two numbers = 240.
Similar questions