Question

Find the HCF and LCM of the following Expressions:
$240,64x^8$

Answer 1

The given monomials $240$ and $64x^8$ can be factorised as follows:

$240=2\times 2\times 2\times 2\times 3\times 564x^8=2\times 2\times 2\times 2\times 2\times 2\times x\times x\times x\times x\times x\times x\times x\times x$

We know that $HCF$ is the highest common factor, therefore, the $HCF$ of $240$ and $64x^8$ is:

$HCF=2\times 2\times 2\times 2=16$

Also, the $LCM$ is the least common multiple, therefore, the $LCM$ of $240$ and $64x^8$ is:

$LCM=2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\times x\times x\times x\times x\times x\times x\times x\times x=960x^8$

Hence, the $HCF$ is $16$ and $LCM$ is $960x^8$.