Question

A ^ (m + 1) ,A ^ (m + 2) ,A ^ (m + 3), A ^ (m - 3) find LCM​

Answer 1

Answer:

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Answer 2

Answer:

Given terms: –

am + 1, am + 2, am + 3

Formula used: –

LCM = Least Common Multiple

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

divided completely;

am + 1 = am × a

am + 2 = am × a × a

am + 3 = am × a × a × a

⇒ first find the common factors in all terms

Common factor = am × a

Common factor from any 2 terms

= ( am × a) × [(1)(a)(a2)]

= ( am × a) × a[(1)(1)(a)]

⇒ then multiply the remaining factors of terms in common

factor to get the LCM

= ( am × a2)(a)

= ama3

Conclusion: –

The LCM of given terms [am + 1, am + 2, am + 3] is ama3