Find the LCM of the following

a²bc, b²ca, c²ab

Given terms: –

a²bc, b²ca, c²ab

Formula used: –

LCM = Least Common Multiple

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

divided completely;

a²bc = a × a × b × c

b²ca = a × b × b × c

c²ab = a × b × c × c

⇒ first find the common factors in all terms

Common factor = a × b × c

⇒ then multiply the remaining factors of terms in common

factor to get the LCM

= ( a × b × c) × [(a)(b)(c)]

= a²b²c²

Conclusion: –

The LCM of given terms [a²bc, b²ca, c²ab] is a²b²c²