Question

Determine the L.C.M. of $225$ and $300$.

Answer 1

STEP 1 : Finding the L.C.M. of $225$ and $300$ using prime factorisation

$225=3\times 3\times 5\times 5=3^2\times 5^2$

$300=2\times 2\times 3\times 5\times 5=2^2\times 3^1\times 5^2$

L.C.M. of $225$ and $300$ $=2^2\times 3^2\times 5^2=4\times 9\times 25$

L.C.M. of $225$ and $300$ $=9\times 100=900$

Hence, L.C.M. of $225$ and $300$ is $900$.