Least Common Multiple of 892/96, 131/7969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/96, 131/7969 quickly i.e. 116852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/96, 131/7969 is 116852.

LCM(892/96, 131/7969) = 116852

LCM of 892/96, 131/7969

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 892/96,131/7969

Given numbers are 892/96,131/7969

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 892,131

Least Common Multiple of Numerators i.e. LCM of 892,131 is 116852.

GCF of Denominators means GCF of 96,7969 as per the given fractions.

GCF of 96,7969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,131

LCM of Fractions 892/96,131/7969 is 116852

Given numbers has no common factors except 1. So, there LCM is their product i.e 116852

Least Common Multiple of 892,131 with GCF Formula

Least Common Multiple of 892,131 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 892,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,131) = 1

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

GCF(892,131) x common factors =1 x 1 = 1

LCM(892,131) = ( 892 × 131 ) / 1

LCM(892,131) = 116852 / 1

LCM(892,131) = 116852


Lets's calculate GCF of 96,7969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116852/1

Therefore the LCM of Fractions 892/96,131/7969 is 116852

Greatest Common Factor of 96,7969 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7969 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1,13,613,7969

Greatest Common Factor

We found the factors 96,7969 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7969 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 892/96, 131/7969

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 892/96, 131/7969?

Answer: LCM of Numerators as per given numbers 892/96, 131/7969 is

LCM of Numerators i.e. for 892,131 is 116852

GCF of denominators i.e. for 96,7969 is 1.

Thus, LCM of Fractions is 116852.Finally, LCM of Fractions for 892/96, 131/7969 is 116852.