Least Common Multiple of 130/56, 829/89, 853/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/56, 829/89, 853/261 quickly i.e. 91927810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/56, 829/89, 853/261 is 91927810.

LCM(130/56, 829/89, 853/261) = 91927810

LCM of 130/56, 829/89, 853/261

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 130/56,829/89,853/261

Given numbers are 130/56,829/89,853/261

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 130,829,853

Least Common Multiple of Numerators i.e. LCM of 130,829,853 is 91927810.

GCF of Denominators means GCF of 56,89,261 as per the given fractions.

GCF of 56,89,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,829,853

LCM of Fractions 130/56,829/89,853/261 is 91927810

Given numbers has no common factors except 1. So, there LCM is their product i.e 91927810

Least Common Multiple of 130,829,853 with GCF Formula

Least Common Multiple of 130,829,853 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 130,829,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,829,853) = 1

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

GCF(130,829,853) x common factors =1 x 1 = 1

LCM(130,829,853) = ( 130 × 829 × 853 ) / 1

LCM(130,829,853) = 91927810 / 1

LCM(130,829,853) = 91927810


Lets's calculate GCF of 56,89,261

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91927810/1

Therefore the LCM of Fractions 130/56,829/89,853/261 is 91927810

Greatest Common Factor of 56,89,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,89,261 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 56,89,261 . The biggest common factor number is the GCF number.
So the greatest common factor 56,89,261 is 1.


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 130/56, 829/89, 853/261

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 130/56, 829/89, 853/261?

Answer: LCM of Numerators as per given numbers 130/56, 829/89, 853/261 is

LCM of Numerators i.e. for 130,829,853 is 91927810

GCF of denominators i.e. for 56,89,261 is 1.

Thus, LCM of Fractions is 91927810.Finally, LCM of Fractions for 130/56, 829/89, 853/261 is 91927810.