Least Common Multiple of 891/124, 262/516, 856/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 891/124, 262/516, 856/680 quickly i.e. 24978294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 891/124, 262/516, 856/680 is 24978294.

LCM(891/124, 262/516, 856/680) = 24978294

LCM of 891/124, 262/516, 856/680

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 891/124,262/516,856/680

Given numbers are 891/124,262/516,856/680

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 891,262,856

Least Common Multiple of Numerators i.e. LCM of 891,262,856 is 99913176.

GCF of Denominators means GCF of 124,516,680 as per the given fractions.

GCF of 124,516,680 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 891,262,856

LCM of Fractions 891/124,262/516,856/680 is 24978294

2 891, 262, 856
891, 131, 428

∴ So the LCM of the given numbers is 2 x 891 x 131 x 428 = 99913176

Least Common Multiple of 891,262,856 with GCF Formula

Least Common Multiple of 891,262,856 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 891,262,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,262,856) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(891,262,856) x common factors =1 x 2 = 2

LCM(891,262,856) = ( 891 × 262 × 856 ) / 2

LCM(891,262,856) = 199826352 / 2

LCM(891,262,856) = 99913176


Lets's calculate GCF of 124,516,680

2 124, 516, 680
2 62, 258, 340
31, 129, 170

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99913176/4

Therefore the LCM of Fractions 891/124,262/516,856/680 is 24978294

Greatest Common Factor of 124,516,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,516,680 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 124,516,680 . The biggest common factor number is the GCF number.
So the greatest common factor 124,516,680 is 4.


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 891/124, 262/516, 856/680

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 891/124, 262/516, 856/680?

Answer: LCM of Numerators as per given numbers 891/124, 262/516, 856/680 is

LCM of Numerators i.e. for 891,262,856 is 99913176

GCF of denominators i.e. for 124,516,680 is 4.

Thus, LCM of Fractions is 24978294.Finally, LCM of Fractions for 891/124, 262/516, 856/680 is 24978294.