If HCF(336,54)=6, then find the LCM(336,54).
Calculate the LCM
We know that the relation between the HCF and the LCM of any two numbers a and b is given by,
HCF(a,b)×LCM(a,b)=a×b
It is given that, HCF(336,54)=6
So, the numbers are a=336 and b=54
Now, using the above formula,
HCF(336,54)×LCM(336,54)=336×54
⇒ 6×LCM(336,54)=336×54 ∵HCF(336,54)=6
⇒ LCM(336,54)=336×546
⇒ LCM(336,54)=56×541
⇒ LCM(336,54)=3024
Hence, the required value of LCM(336,54) is 3024.
If HCF of (336, 54) is 6, find LCM of (336, 54).