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.

SOLUTION :
•66 a⁴ b² c³ = 2 x 3 x 11 a⁴ b² c³
•44 a³ b⁴ c² = 2² x 11 a³ b⁴ c²
•24 a² b³ c⁴ = 2³ x 3 a² b³ c⁴

L.C.M = 2³ x 3 x 11 a⁴ b⁴ c⁴
[On taking the highest power of each of the factors (including the ones in common)]


L.C.M = 264 a⁴b⁴c⁴

Hence ,the L.C.M is 264 a⁴b⁴c⁴

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Solution :

i) 66a⁴b²c³ = 2×3×11×a⁴b²c³

ii ) 44a³b⁴c² = 2×2×11×a³b⁴c²

iii ) 24a²b³c⁴ = 2×2×2×3×a²b³c⁴

LCM = 2³ × 3 × 11 × a⁴b⁴c⁴

= 264a⁴b⁴c⁴

[ Product of the greatest power

of each prime factors of the

numbers ]

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