Least Common Multiple of 1857/144, 7394/5919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1857/144, 7394/5919 quickly i.e. 4576886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1857/144, 7394/5919 is 4576886.

LCM(1857/144, 7394/5919) = 4576886

LCM of 1857/144, 7394/5919

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 1857/144,7394/5919

Given numbers are 1857/144,7394/5919

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 1857,7394

Least Common Multiple of Numerators i.e. LCM of 1857,7394 is 13730658.

GCF of Denominators means GCF of 144,5919 as per the given fractions.

GCF of 144,5919 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1857,7394

LCM of Fractions 1857/144,7394/5919 is 4576886

Given numbers has no common factors except 1. So, there LCM is their product i.e 13730658

Least Common Multiple of 1857,7394 with GCF Formula

Least Common Multiple of 1857,7394 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 1857,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1857,7394) = 1

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

GCF(1857,7394) x common factors =1 x 1 = 1

LCM(1857,7394) = ( 1857 × 7394 ) / 1

LCM(1857,7394) = 13730658 / 1

LCM(1857,7394) = 13730658


Lets's calculate GCF of 144,5919

3 144, 5919
48, 1973

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13730658/3

Therefore the LCM of Fractions 1857/144,7394/5919 is 4576886

Greatest Common Factor of 144,5919 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,5919 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 5919

List of positive integer factors of 5919 that divides 5919 without a remainder.

1,3,1973,5919

Greatest Common Factor

We found the factors 144,5919 . The biggest common factor number is the GCF number.
So the greatest common factor 144,5919 is 3.


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 1857/144, 7394/5919

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 1857/144, 7394/5919?

Answer: LCM of Numerators as per given numbers 1857/144, 7394/5919 is

LCM of Numerators i.e. for 1857,7394 is 13730658

GCF of denominators i.e. for 144,5919 is 3.

Thus, LCM of Fractions is 4576886.Finally, LCM of Fractions for 1857/144, 7394/5919 is 4576886.