Least Common Multiple of 6409/430, 6238/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6409/430, 6238/160 quickly i.e. 39979342/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6409/430, 6238/160 is 39979342/10.

LCM(6409/430, 6238/160) = 39979342/10

LCM of 6409/430, 6238/160

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 6409/430,6238/160

Given numbers are 6409/430,6238/160

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 6409,6238

Least Common Multiple of Numerators i.e. LCM of 6409,6238 is 39979342.

GCF of Denominators means GCF of 430,160 as per the given fractions.

GCF of 430,160 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6409,6238

LCM of Fractions 6409/430,6238/160 is 39979342/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 39979342

Least Common Multiple of 6409,6238 with GCF Formula

Least Common Multiple of 6409,6238 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 6409,6238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6409,6238) = 1

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

GCF(6409,6238) x common factors =1 x 1 = 1

LCM(6409,6238) = ( 6409 × 6238 ) / 1

LCM(6409,6238) = 39979342 / 1

LCM(6409,6238) = 39979342


Lets's calculate GCF of 430,160

2 430, 160
5 215, 80
43, 16

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39979342/10

Therefore the LCM of Fractions 6409/430,6238/160 is 39979342/10

Greatest Common Factor of 430,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,160 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 430,160 . The biggest common factor number is the GCF number.
So the greatest common factor 430,160 is 10.


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 6409/430, 6238/160

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 6409/430, 6238/160?

Answer: LCM of Numerators as per given numbers 6409/430, 6238/160 is

LCM of Numerators i.e. for 6409,6238 is 39979342

GCF of denominators i.e. for 430,160 is 10.

Thus, LCM of Fractions is 39979342/10.Finally, LCM of Fractions for 6409/430, 6238/160 is 39979342/10.