Find the LCM of the following

x³ y² , xyz

Given terms: –

x³, y² , xyz

Formula used: –

LCM = Least Common Multiple

Means it is the lowest term by which every element must be divided completely;

x³ = x × x × x

y² = y × y

xyz = x × y × z

⇒ first find the common factors in all terms

Common factor = x × y

⇒ then multiply the remaining factors of terms in common

factor to get the LCM

= (x × y) × [(x²)(y)(z)]

= x³y²z

Conclusion: –

The LCM of given terms [x³ , y² , xyz] is x³y²z