Question

Using monomial, find the L.C.M. of $100l^6{m}^2,50l^3$

• A. $100l^{1}8m^2$
• B. $100l^9{m}^2$
• C. $100l^6{m}^2$
• D. $50l^6{m}^2$

Answer 1

Answer: (B), (C)

The correct options are
B $100l^9{m}^2$
C $100l^6{m}^2$

To find the L.C.M. of two or more monomials is the product of the L.C.M. of their numerical coefficients and the L.C.M. of their literal coefficients.
The L.C.M. of numerical coefficients $=$ The L.C.M. of $50$ and $100$.
$50=2\times 25$
$100=2\times 2\times 25$
Therefore, L.C.M. of $50$ and $100=2\times 2\times 25=100$
The L.C.M. of literal coefficients $=$ The L.C.M. of $l^6{m}^2,l^3=l^6{m}^2$
So, the L.C.M. of $100l^6{m}^2,50l^3=100l^6{m}^2$