Find the LCM of the following

3x²yz, 4x³y³

Given terms: –

3x²yz, 4x³y³

Formula used: –

LCM = Least Common Multiple

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

divided completely;

3x²yz, = 3 × x × x × y × z

4x³y³ = 4 × x × x × x × y × y × y

⇒ first find the common factors in all terms

Common factor = x × x × y

⇒ then multiply the remaining factors of terms in common

factor to get the LCM

= (x × y × x) × [(3yz)(4xy²)]

= 12x³y³z

Conclusion: –

The LCM of given terms [3x²yz, 4x³y³] is 12x³y³z