Question

2. Find the LCM of the given expressions.
(1) 4x²y,8x³y²
​

Answer 1

Answer:

(1) 4x²y=2 × 2 × x × x × y

8x³y²=2 × 2 × 2 × x × x × x × y × y

Thus,

LCM(4x²y, 8x³y²)=(2)(2)(x)(x)(y)×(2)(x)(y)

=8x³y²

Answer 2

Given:

We have terms 4x²y,8x³y².

To Find:

We need to find the LCM of given terms?

Step-by-step explanation:

• L.C.M of two or more numbers is defined as the least common multiple of all given numbers.
• We will find the LCM of terms by prime factorization

• So, first of all we need to find the Prime factors of given terms

• Prime factors of 4x²y will be given by

                    $4x^2y=2\times2\times x\times x\times y$

• Prime factorization of 8x³y² will be given by

                     $8x^3y^2=2\times2\times2\times x\times x\times x\times y \times y$

• Now we will find the common factors of given terms which are

                     $2\times2\times x \times x\times y$

• After multiplying the common factors we will get the LCM of numbers

                $L.C.M=4x^2y$

Hence, L.C.M is 4x²y.