Question

What is the LCM of 13/16a^3b^3, 11/30a^5b

Answer 1

The L.C.M of given numbers is
`(143)/(240)a^5b^3`.

Explanation:

The given expressions are

`(13)/(16)a^3b^3`

`(11)/(30)a^5b`

The factors of given expressions are

`(13)/(16)a^3b^3=(13)/(8)* (1)/(2)* a* a* a* b* b* b`

`(11)/(30)a^5b=(11)/(15)* (1)/(2)* a* a* a* a* a* b`

`L.C.M.=(13)/(8)* (1)/(2)* a* a* a* b* b* b* (11)/(15)* a* a`

`L.C.M.=(143)/(240)* a^5* b^3`

`L.C.M.=(143)/(240)a^5b^3`

Therefore, the L.C.M of given numbers is
`(143)/(240)a^5b^3`.