Least Common Multiple of 5769/39, 6920/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5769/39, 6920/861 quickly i.e. 13307160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5769/39, 6920/861 is 13307160.

LCM(5769/39, 6920/861) = 13307160

LCM of 5769/39, 6920/861

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 5769/39,6920/861

Given numbers are 5769/39,6920/861

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 5769,6920

Least Common Multiple of Numerators i.e. LCM of 5769,6920 is 39921480.

GCF of Denominators means GCF of 39,861 as per the given fractions.

GCF of 39,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5769,6920

LCM of Fractions 5769/39,6920/861 is 13307160

Given numbers has no common factors except 1. So, there LCM is their product i.e 39921480

Least Common Multiple of 5769,6920 with GCF Formula

Least Common Multiple of 5769,6920 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 5769,6920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5769,6920) = 1

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

GCF(5769,6920) x common factors =1 x 1 = 1

LCM(5769,6920) = ( 5769 × 6920 ) / 1

LCM(5769,6920) = 39921480 / 1

LCM(5769,6920) = 39921480


Lets's calculate GCF of 39,861

3 39, 861
13, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39921480/3

Therefore the LCM of Fractions 5769/39,6920/861 is 13307160

Greatest Common Factor of 39,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,861 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 39,861 . The biggest common factor number is the GCF number.
So the greatest common factor 39,861 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 5769/39, 6920/861

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 5769/39, 6920/861?

Answer: LCM of Numerators as per given numbers 5769/39, 6920/861 is

LCM of Numerators i.e. for 5769,6920 is 39921480

GCF of denominators i.e. for 39,861 is 3.

Thus, LCM of Fractions is 13307160.Finally, LCM of Fractions for 5769/39, 6920/861 is 13307160.