Least Common Multiple of 2723/71, 1538/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2723/71, 1538/857 quickly i.e. 4187974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2723/71, 1538/857 is 4187974.

LCM(2723/71, 1538/857) = 4187974

LCM of 2723/71, 1538/857

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 2723/71,1538/857

Given numbers are 2723/71,1538/857

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 2723,1538

Least Common Multiple of Numerators i.e. LCM of 2723,1538 is 4187974.

GCF of Denominators means GCF of 71,857 as per the given fractions.

GCF of 71,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2723,1538

LCM of Fractions 2723/71,1538/857 is 4187974

Given numbers has no common factors except 1. So, there LCM is their product i.e 4187974

Least Common Multiple of 2723,1538 with GCF Formula

Least Common Multiple of 2723,1538 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 2723,1538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2723,1538) = 1

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

GCF(2723,1538) x common factors =1 x 1 = 1

LCM(2723,1538) = ( 2723 × 1538 ) / 1

LCM(2723,1538) = 4187974 / 1

LCM(2723,1538) = 4187974


Lets's calculate GCF of 71,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4187974/1

Therefore the LCM of Fractions 2723/71,1538/857 is 4187974

Greatest Common Factor of 71,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,857 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 71,857 . The biggest common factor number is the GCF number.
So the greatest common factor 71,857 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 2723/71, 1538/857

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 2723/71, 1538/857?

Answer: LCM of Numerators as per given numbers 2723/71, 1538/857 is

LCM of Numerators i.e. for 2723,1538 is 4187974

GCF of denominators i.e. for 71,857 is 1.

Thus, LCM of Fractions is 4187974.Finally, LCM of Fractions for 2723/71, 1538/857 is 4187974.