Least Common Multiple of 409/79, 902/5940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/79, 902/5940 quickly i.e. 368918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/79, 902/5940 is 368918.

LCM(409/79, 902/5940) = 368918

LCM of 409/79, 902/5940

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 409/79,902/5940

Given numbers are 409/79,902/5940

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 409,902

Least Common Multiple of Numerators i.e. LCM of 409,902 is 368918.

GCF of Denominators means GCF of 79,5940 as per the given fractions.

GCF of 79,5940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,902

LCM of Fractions 409/79,902/5940 is 368918

Given numbers has no common factors except 1. So, there LCM is their product i.e 368918

Least Common Multiple of 409,902 with GCF Formula

Least Common Multiple of 409,902 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 409,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,902) = 1

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

GCF(409,902) x common factors =1 x 1 = 1

LCM(409,902) = ( 409 × 902 ) / 1

LCM(409,902) = 368918 / 1

LCM(409,902) = 368918


Lets's calculate GCF of 79,5940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368918/1

Therefore the LCM of Fractions 409/79,902/5940 is 368918

Greatest Common Factor of 79,5940 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,5940 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940

Greatest Common Factor

We found the factors 79,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 79,5940 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 409/79, 902/5940

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 409/79, 902/5940?

Answer: LCM of Numerators as per given numbers 409/79, 902/5940 is

LCM of Numerators i.e. for 409,902 is 368918

GCF of denominators i.e. for 79,5940 is 1.

Thus, LCM of Fractions is 368918.Finally, LCM of Fractions for 409/79, 902/5940 is 368918.