Least Common Multiple of 5891/804, 2809/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5891/804, 2809/252 quickly i.e. 16547819/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5891/804, 2809/252 is 16547819/12.

LCM(5891/804, 2809/252) = 16547819/12

LCM of 5891/804, 2809/252

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 5891/804,2809/252

Given numbers are 5891/804,2809/252

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 5891,2809

Least Common Multiple of Numerators i.e. LCM of 5891,2809 is 16547819.

GCF of Denominators means GCF of 804,252 as per the given fractions.

GCF of 804,252 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5891,2809

LCM of Fractions 5891/804,2809/252 is 16547819/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 16547819

Least Common Multiple of 5891,2809 with GCF Formula

Least Common Multiple of 5891,2809 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 5891,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5891,2809) = 1

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

GCF(5891,2809) x common factors =1 x 1 = 1

LCM(5891,2809) = ( 5891 × 2809 ) / 1

LCM(5891,2809) = 16547819 / 1

LCM(5891,2809) = 16547819


Lets's calculate GCF of 804,252

2 804, 252
2 402, 126
3 201, 63
67, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16547819/12

Therefore the LCM of Fractions 5891/804,2809/252 is 16547819/12

Greatest Common Factor of 804,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,252 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 804,252 . The biggest common factor number is the GCF number.
So the greatest common factor 804,252 is 12.


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 5891/804, 2809/252

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 5891/804, 2809/252?

Answer: LCM of Numerators as per given numbers 5891/804, 2809/252 is

LCM of Numerators i.e. for 5891,2809 is 16547819

GCF of denominators i.e. for 804,252 is 12.

Thus, LCM of Fractions is 16547819/12.Finally, LCM of Fractions for 5891/804, 2809/252 is 16547819/12.