Least Common Multiple of 72/854, 1423/2349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/854, 1423/2349 quickly i.e. 102456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/854, 1423/2349 is 102456.

LCM(72/854, 1423/2349) = 102456

LCM of 72/854, 1423/2349

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 72/854,1423/2349

Given numbers are 72/854,1423/2349

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 72,1423

Least Common Multiple of Numerators i.e. LCM of 72,1423 is 102456.

GCF of Denominators means GCF of 854,2349 as per the given fractions.

GCF of 854,2349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,1423

LCM of Fractions 72/854,1423/2349 is 102456

Given numbers has no common factors except 1. So, there LCM is their product i.e 102456

Least Common Multiple of 72,1423 with GCF Formula

Least Common Multiple of 72,1423 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 72,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1423) = 1

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

GCF(72,1423) x common factors =1 x 1 = 1

LCM(72,1423) = ( 72 × 1423 ) / 1

LCM(72,1423) = 102456 / 1

LCM(72,1423) = 102456


Lets's calculate GCF of 854,2349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102456/1

Therefore the LCM of Fractions 72/854,1423/2349 is 102456

Greatest Common Factor of 854,2349 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,2349 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 2349

List of positive integer factors of 2349 that divides 2349 without a remainder.

1,3,9,27,29,81,87,261,783,2349

Greatest Common Factor

We found the factors 854,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 854,2349 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 72/854, 1423/2349

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 72/854, 1423/2349?

Answer: LCM of Numerators as per given numbers 72/854, 1423/2349 is

LCM of Numerators i.e. for 72,1423 is 102456

GCF of denominators i.e. for 854,2349 is 1.

Thus, LCM of Fractions is 102456.Finally, LCM of Fractions for 72/854, 1423/2349 is 102456.