Question

Find the LCM of the following

Answer 1

Least Common Multiple(LCM): The least common multiple of two or more algebraic expressions is the expression of lowest degree which is divisible by each of them without remainder.

LCM OF POLYNOMIALS :
1•Find the LCM of the numerical coefficient of the polynomials.
2•Factorise the given polynomials.
3•Take the highest power of each of the factors (including the ones in common)]
4•The product of the number and the powers of the factors obtained in step 1 and 3 is the LCM of the given polynomials.

QUESTION :
Find the LCM of the following
a^(m + 1), a^(m + 2) , a^(m + 3)

SOLUTION :
•a^(m + 1) = a^(m × a)
[ a^m × aⁿ = a^m+ⁿ]
•a^(m + 2) = a^(m × a²)
•a^(m + 3) = a^(m × a³)

L.C.M = a^(m × a³)
[ On taking the highest power of each of the factors (including the ones in common)]

L.C.M = a ^(m + 3)

Hence, the L.C.M is a ^(m + 3)

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Solution :

Given a^m+1 , a^m+2 , a^m+3

LCM = a^m+3

[ Product of the greatest

power of each prime of the

numbers ]

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