Least Common Multiple of 379/339, 164/540, 804/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/339, 164/540, 804/169 quickly i.e. 12493356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/339, 164/540, 804/169 is 12493356.

LCM(379/339, 164/540, 804/169) = 12493356

LCM of 379/339, 164/540, 804/169

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 379/339,164/540,804/169

Given numbers are 379/339,164/540,804/169

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 379,164,804

Least Common Multiple of Numerators i.e. LCM of 379,164,804 is 12493356.

GCF of Denominators means GCF of 339,540,169 as per the given fractions.

GCF of 339,540,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,164,804

LCM of Fractions 379/339,164/540,804/169 is 12493356

2 379, 164, 804
2 379, 82, 402
379, 41, 201

∴ So the LCM of the given numbers is 2 x 2 x 379 x 41 x 201 = 12493356

Least Common Multiple of 379,164,804 with GCF Formula

Least Common Multiple of 379,164,804 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 379,164,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,164,804) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(379,164,804) x common factors =1 x 4 = 4

LCM(379,164,804) = ( 379 × 164 × 804 ) / 4

LCM(379,164,804) = 49973424 / 4

LCM(379,164,804) = 12493356


Lets's calculate GCF of 339,540,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12493356/1

Therefore the LCM of Fractions 379/339,164/540,804/169 is 12493356

Greatest Common Factor of 339,540,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,540,169 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 339,540,169 . The biggest common factor number is the GCF number.
So the greatest common factor 339,540,169 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 379/339, 164/540, 804/169

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 379/339, 164/540, 804/169?

Answer: LCM of Numerators as per given numbers 379/339, 164/540, 804/169 is

LCM of Numerators i.e. for 379,164,804 is 12493356

GCF of denominators i.e. for 339,540,169 is 1.

Thus, LCM of Fractions is 12493356.Finally, LCM of Fractions for 379/339, 164/540, 804/169 is 12493356.