Least Common Multiple of 854/28, 673/26, 344/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/28, 673/26, 344/744 quickly i.e. 49427812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/28, 673/26, 344/744 is 49427812.

LCM(854/28, 673/26, 344/744) = 49427812

LCM of 854/28, 673/26, 344/744

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 854/28,673/26,344/744

Given numbers are 854/28,673/26,344/744

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 854,673,344

Least Common Multiple of Numerators i.e. LCM of 854,673,344 is 98855624.

GCF of Denominators means GCF of 28,26,744 as per the given fractions.

GCF of 28,26,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,673,344

LCM of Fractions 854/28,673/26,344/744 is 49427812

2 854, 673, 344
427, 673, 172

∴ So the LCM of the given numbers is 2 x 427 x 673 x 172 = 98855624

Least Common Multiple of 854,673,344 with GCF Formula

Least Common Multiple of 854,673,344 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 854,673,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,673,344) = 1

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

GCF(854,673,344) x common factors =1 x 2 = 2

LCM(854,673,344) = ( 854 × 673 × 344 ) / 2

LCM(854,673,344) = 197711248 / 2

LCM(854,673,344) = 98855624


Lets's calculate GCF of 28,26,744

2 28, 26, 744
14, 13, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98855624/2

Therefore the LCM of Fractions 854/28,673/26,344/744 is 49427812

Greatest Common Factor of 28,26,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,26,744 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 28,26,744 . The biggest common factor number is the GCF number.
So the greatest common factor 28,26,744 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 854/28, 673/26, 344/744

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 854/28, 673/26, 344/744?

Answer: LCM of Numerators as per given numbers 854/28, 673/26, 344/744 is

LCM of Numerators i.e. for 854,673,344 is 98855624

GCF of denominators i.e. for 28,26,744 is 2.

Thus, LCM of Fractions is 49427812.Finally, LCM of Fractions for 854/28, 673/26, 344/744 is 49427812.