Least Common Multiple of 8792/112, 5242/6858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8792/112, 5242/6858 quickly i.e. 11521916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8792/112, 5242/6858 is 11521916.

LCM(8792/112, 5242/6858) = 11521916

LCM of 8792/112, 5242/6858

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 8792/112,5242/6858

Given numbers are 8792/112,5242/6858

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 8792,5242

Least Common Multiple of Numerators i.e. LCM of 8792,5242 is 23043832.

GCF of Denominators means GCF of 112,6858 as per the given fractions.

GCF of 112,6858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8792,5242

LCM of Fractions 8792/112,5242/6858 is 11521916

2 8792, 5242
4396, 2621

∴ So the LCM of the given numbers is 2 x 4396 x 2621 = 23043832

Least Common Multiple of 8792,5242 with GCF Formula

Least Common Multiple of 8792,5242 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 8792,5242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8792,5242) = 2

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

GCF(8792,5242) x common factors =2 x 1 = 2

LCM(8792,5242) = ( 8792 × 5242 ) / 2

LCM(8792,5242) = 46087664 / 2

LCM(8792,5242) = 23043832


Lets's calculate GCF of 112,6858

2 112, 6858
56, 3429

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23043832/2

Therefore the LCM of Fractions 8792/112,5242/6858 is 11521916

Greatest Common Factor of 112,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,6858 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 112,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 112,6858 is 2.


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 8792/112, 5242/6858

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 8792/112, 5242/6858?

Answer: LCM of Numerators as per given numbers 8792/112, 5242/6858 is

LCM of Numerators i.e. for 8792,5242 is 23043832

GCF of denominators i.e. for 112,6858 is 2.

Thus, LCM of Fractions is 11521916.Finally, LCM of Fractions for 8792/112, 5242/6858 is 11521916.