Least Common Multiple of 873/34, 722/48, 539/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/34, 722/48, 539/754 quickly i.e. 169867467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/34, 722/48, 539/754 is 169867467.

LCM(873/34, 722/48, 539/754) = 169867467

LCM of 873/34, 722/48, 539/754

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 873/34,722/48,539/754

Given numbers are 873/34,722/48,539/754

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 873,722,539

Least Common Multiple of Numerators i.e. LCM of 873,722,539 is 339734934.

GCF of Denominators means GCF of 34,48,754 as per the given fractions.

GCF of 34,48,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,722,539

LCM of Fractions 873/34,722/48,539/754 is 169867467

Given numbers has no common factors except 1. So, there LCM is their product i.e 339734934

Least Common Multiple of 873,722,539 with GCF Formula

Least Common Multiple of 873,722,539 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 873,722,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,722,539) = 1

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

GCF(873,722,539) x common factors =1 x 1 = 1

LCM(873,722,539) = ( 873 × 722 × 539 ) / 1

LCM(873,722,539) = 339734934 / 1

LCM(873,722,539) = 339734934


Lets's calculate GCF of 34,48,754

2 34, 48, 754
17, 24, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339734934/2

Therefore the LCM of Fractions 873/34,722/48,539/754 is 169867467

Greatest Common Factor of 34,48,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,48,754 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 34,48,754 . The biggest common factor number is the GCF number.
So the greatest common factor 34,48,754 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 873/34, 722/48, 539/754

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 873/34, 722/48, 539/754?

Answer: LCM of Numerators as per given numbers 873/34, 722/48, 539/754 is

LCM of Numerators i.e. for 873,722,539 is 339734934

GCF of denominators i.e. for 34,48,754 is 2.

Thus, LCM of Fractions is 169867467.Finally, LCM of Fractions for 873/34, 722/48, 539/754 is 169867467.