Question

find hcf and lcm of 4x³,6y²and 8z​

Answer 1

Step-by-step explanation:

The given monomials 4x

3

, y

3

and z

3

can be factorised as follows:

4x

3

=2×2×x×x×x

y

3

=y×y×y

z

3

=z×z×z

We know that HCF is the highest common factor, therefore, the HCF of 4x

3

, y

3

and z

3

is:

HCF=1 (There is no common factor between the given monomials)

Also, the LCM is the least common multiple, therefore, the LCM of 4x

3

, y

3

and z

3

is:

LCM=2×2×x×x×x×y×y×y×z×z×z=4x

3

y

3

z

3

Hence, the HCF is 1 and LCM is 4x

3

y

3

z

3

.