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
3 x² y z , 4 x³ y³

SOLUTION :
•3 x² y¹z¹ 
•4 x³ y³
L.C.M is = 3 x 4 x³ y³ z
[ On taking the highest power of each of the factors (including the ones in common)]
L.C.M = 12 x³ y³ z

Hence, the L.C.M is 12 x³ y³ z

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Solution :

i ) 3x²yz = 3 ×x×x×y×z

ii ) 4x³y³ = 2×2×x×x×x×y×y×y

LCM = 3×2×2×x³×y³×z

[ Product of the greatest power

of each prime factors of the

numbers ]

= 12x³y³z

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