if xy=a3b3c2 and HCF(x,y)=abc,then find LCM of x and y
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Answer:Given : xy= 180 and HCF (x,y) = 3,
To Find : lcm(x, y)
Solution:
LCM - Least common Multiplier
HCF - Highest Common Factor
LCM ( x , y) . HCF ( x , y) = x . y
xy= 180
HCF (x,y) = 3,
=> LCM ( x , y) . 3 = 180
Dividing both sides by 3
=> LCM ( x , y) = 60
LCM ( x , y) = 60
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