Least Common Multiple of 804/468, 2159/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/468, 2159/141 quickly i.e. 578612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/468, 2159/141 is 578612.

LCM(804/468, 2159/141) = 578612

LCM of 804/468, 2159/141

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 804/468,2159/141

Given numbers are 804/468,2159/141

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 804,2159

Least Common Multiple of Numerators i.e. LCM of 804,2159 is 1735836.

GCF of Denominators means GCF of 468,141 as per the given fractions.

GCF of 468,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,2159

LCM of Fractions 804/468,2159/141 is 578612

Given numbers has no common factors except 1. So, there LCM is their product i.e 1735836

Least Common Multiple of 804,2159 with GCF Formula

Least Common Multiple of 804,2159 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 804,2159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,2159) = 1

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

GCF(804,2159) x common factors =1 x 1 = 1

LCM(804,2159) = ( 804 × 2159 ) / 1

LCM(804,2159) = 1735836 / 1

LCM(804,2159) = 1735836


Lets's calculate GCF of 468,141

3 468, 141
156, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1735836/3

Therefore the LCM of Fractions 804/468,2159/141 is 578612

Greatest Common Factor of 468,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,141 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 468,141 . The biggest common factor number is the GCF number.
So the greatest common factor 468,141 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 804/468, 2159/141

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 804/468, 2159/141?

Answer: LCM of Numerators as per given numbers 804/468, 2159/141 is

LCM of Numerators i.e. for 804,2159 is 1735836

GCF of denominators i.e. for 468,141 is 3.

Thus, LCM of Fractions is 578612.Finally, LCM of Fractions for 804/468, 2159/141 is 578612.