Least Common Multiple of 8/675, 70/495, 20/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/675, 70/495, 20/405 quickly i.e. 280/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/675, 70/495, 20/405 is 280/45.

LCM(8/675, 70/495, 20/405) = 280/45

LCM of 8/675, 70/495, 20/405

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8/675,70/495,20/405

Given numbers are 8/675,70/495,20/405

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8,70,20

Least Common Multiple of Numerators i.e. LCM of 8,70,20 is 280.

GCF of Denominators means GCF of 675,495,405 as per the given fractions.

GCF of 675,495,405 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,70,20

LCM of Fractions 8/675,70/495,20/405 is 280/45

2 8, 70, 20
2 4, 35, 10
5 2, 35, 5
2, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 7 x 1 = 280

Least Common Multiple of 8,70,20 with GCF Formula

Least Common Multiple of 8,70,20 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8,70,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,70,20) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(8,70,20) x common factors =2 x 20 = 40

LCM(8,70,20) = ( 8 × 70 × 20 ) / 40

LCM(8,70,20) = 11200 / 40

LCM(8,70,20) = 280


Lets's calculate GCF of 675,495,405

3 675, 495, 405
3 225, 165, 135
5 75, 55, 45
15, 11, 9

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280/45

Therefore the LCM of Fractions 8/675,70/495,20/405 is 280/45

Greatest Common Factor of 675,495,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,495,405 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 675,495,405 . The biggest common factor number is the GCF number.
So the greatest common factor 675,495,405 is 45.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8/675, 70/495, 20/405

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8/675, 70/495, 20/405?

Answer: LCM of Numerators as per given numbers 8/675, 70/495, 20/405 is

LCM of Numerators i.e. for 8,70,20 is 280

GCF of denominators i.e. for 675,495,405 is 45.

Thus, LCM of Fractions is 280/45.Finally, LCM of Fractions for 8/675, 70/495, 20/405 is 280/45.