Least Common Multiple of 7129/810, 5671/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7129/810, 5671/675 quickly i.e. 40428559/135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7129/810, 5671/675 is 40428559/135.

LCM(7129/810, 5671/675) = 40428559/135

LCM of 7129/810, 5671/675

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 7129/810,5671/675

Given numbers are 7129/810,5671/675

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 7129,5671

Least Common Multiple of Numerators i.e. LCM of 7129,5671 is 40428559.

GCF of Denominators means GCF of 810,675 as per the given fractions.

GCF of 810,675 is 135 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7129,5671

LCM of Fractions 7129/810,5671/675 is 40428559/135

Given numbers has no common factors except 1. So, there LCM is their product i.e 40428559

Least Common Multiple of 7129,5671 with GCF Formula

Least Common Multiple of 7129,5671 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 7129,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7129,5671) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7129,5671) x common factors =1 x 1 = 1

LCM(7129,5671) = ( 7129 × 5671 ) / 1

LCM(7129,5671) = 40428559 / 1

LCM(7129,5671) = 40428559


Lets's calculate GCF of 810,675

3 810, 675
3 270, 225
3 90, 75
5 30, 25
6, 5

∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40428559/135

Therefore the LCM of Fractions 7129/810,5671/675 is 40428559/135

Greatest Common Factor of 810,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,675 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

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

Greatest Common Factor

We found the factors 810,675 . The biggest common factor number is the GCF number.
So the greatest common factor 810,675 is 135.


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 7129/810, 5671/675

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 7129/810, 5671/675?

Answer: LCM of Numerators as per given numbers 7129/810, 5671/675 is

LCM of Numerators i.e. for 7129,5671 is 40428559

GCF of denominators i.e. for 810,675 is 135.

Thus, LCM of Fractions is 40428559/135.Finally, LCM of Fractions for 7129/810, 5671/675 is 40428559/135.