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
a²b c , b²ca , c²ab

SOLUTION:
•a²b¹c¹
•b²c¹a¹
•c²a¹b¹
L.C.M is = a² b² c²
[ On taking the highest power of each of the factors (including the ones in common)]

Hence , the L.C.M is a² b² c²

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Solution :

a²bc = a × a × b × c

b²ca = b×b×c×a

c²ab = c×c×a×b

LCM = a²b²c²

[ Product of the greatest power

of each prime factors of the

numbers ]

••••