Question

Find the LCM for the following Integers: 35x, 45x and 70x *



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Answer 1

solution

LCM of 35x, 45x, 70x=5×2×7×9=630x

Answer 2

Given:

The three numbers are 35x, 45x and 70x

To Find:

The LCM

Solution

Find the prime factors of 35x:

$35 = 5 \times 7 \times x$

Find the prime factors of 45x:

$45 = 3 \times 3 \times 5 \times x$

$45 = 3^2 \times 5 \times x$

Find the prime factors of 70x:

$70x = 2 \times 5 \times 7 \times x$

Find the LCM:

$35 = 5 \times 7 \times x$

$45 = 3^2 \times 5 \times x$

$70x = 2 \times 5 \times 7 \times x$

$\text{LCM } = 2 \times 3^2 \times 5 \times 7 \times x$

$\text{LCM } = 630x$

Answer: The LCM is 630x