Least Common Multiple of 831/645, 9500/5769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/645, 9500/5769 quickly i.e. 2631500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/645, 9500/5769 is 2631500.

LCM(831/645, 9500/5769) = 2631500

LCM of 831/645, 9500/5769

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 831/645,9500/5769

Given numbers are 831/645,9500/5769

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 831,9500

Least Common Multiple of Numerators i.e. LCM of 831,9500 is 7894500.

GCF of Denominators means GCF of 645,5769 as per the given fractions.

GCF of 645,5769 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,9500

LCM of Fractions 831/645,9500/5769 is 2631500

Given numbers has no common factors except 1. So, there LCM is their product i.e 7894500

Least Common Multiple of 831,9500 with GCF Formula

Least Common Multiple of 831,9500 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 831,9500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,9500) = 1

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

GCF(831,9500) x common factors =1 x 1 = 1

LCM(831,9500) = ( 831 × 9500 ) / 1

LCM(831,9500) = 7894500 / 1

LCM(831,9500) = 7894500


Lets's calculate GCF of 645,5769

3 645, 5769
215, 1923

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7894500/3

Therefore the LCM of Fractions 831/645,9500/5769 is 2631500

Greatest Common Factor of 645,5769 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,5769 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1,3,9,641,1923,5769

Greatest Common Factor

We found the factors 645,5769 . The biggest common factor number is the GCF number.
So the greatest common factor 645,5769 is 3.


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 831/645, 9500/5769

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 831/645, 9500/5769?

Answer: LCM of Numerators as per given numbers 831/645, 9500/5769 is

LCM of Numerators i.e. for 831,9500 is 7894500

GCF of denominators i.e. for 645,5769 is 3.

Thus, LCM of Fractions is 2631500.Finally, LCM of Fractions for 831/645, 9500/5769 is 2631500.