Least Common Multiple of 5745/879, 5321/1828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5745/879, 5321/1828 quickly i.e. 30569145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5745/879, 5321/1828 is 30569145.

LCM(5745/879, 5321/1828) = 30569145

LCM of 5745/879, 5321/1828

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 5745/879,5321/1828

Given numbers are 5745/879,5321/1828

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 5745,5321

Least Common Multiple of Numerators i.e. LCM of 5745,5321 is 30569145.

GCF of Denominators means GCF of 879,1828 as per the given fractions.

GCF of 879,1828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5745,5321

LCM of Fractions 5745/879,5321/1828 is 30569145

Given numbers has no common factors except 1. So, there LCM is their product i.e 30569145

Least Common Multiple of 5745,5321 with GCF Formula

Least Common Multiple of 5745,5321 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 5745,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5745,5321) = 1

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

GCF(5745,5321) x common factors =1 x 1 = 1

LCM(5745,5321) = ( 5745 × 5321 ) / 1

LCM(5745,5321) = 30569145 / 1

LCM(5745,5321) = 30569145


Lets's calculate GCF of 879,1828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30569145/1

Therefore the LCM of Fractions 5745/879,5321/1828 is 30569145

Greatest Common Factor of 879,1828 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,1828 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1,2,4,457,914,1828

Greatest Common Factor

We found the factors 879,1828 . The biggest common factor number is the GCF number.
So the greatest common factor 879,1828 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 5745/879, 5321/1828

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 5745/879, 5321/1828?

Answer: LCM of Numerators as per given numbers 5745/879, 5321/1828 is

LCM of Numerators i.e. for 5745,5321 is 30569145

GCF of denominators i.e. for 879,1828 is 1.

Thus, LCM of Fractions is 30569145.Finally, LCM of Fractions for 5745/879, 5321/1828 is 30569145.