Least Common Multiple of 6401/130, 8140/4796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6401/130, 8140/4796 quickly i.e. 704110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6401/130, 8140/4796 is 704110.

LCM(6401/130, 8140/4796) = 704110

LCM of 6401/130, 8140/4796

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 6401/130,8140/4796

Given numbers are 6401/130,8140/4796

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 6401,8140

Least Common Multiple of Numerators i.e. LCM of 6401,8140 is 1408220.

GCF of Denominators means GCF of 130,4796 as per the given fractions.

GCF of 130,4796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6401,8140

LCM of Fractions 6401/130,8140/4796 is 704110

37 6401, 8140
173, 220

∴ So the LCM of the given numbers is 37 x 173 x 220 = 1408220

Least Common Multiple of 6401,8140 with GCF Formula

Least Common Multiple of 6401,8140 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 6401,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6401,8140) = 37

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

GCF(6401,8140) x common factors =37 x 1 = 37

LCM(6401,8140) = ( 6401 × 8140 ) / 37

LCM(6401,8140) = 52104140 / 37

LCM(6401,8140) = 1408220


Lets's calculate GCF of 130,4796

2 130, 4796
65, 2398

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1408220/2

Therefore the LCM of Fractions 6401/130,8140/4796 is 704110

Greatest Common Factor of 130,4796 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,4796 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1,2,4,11,22,44,109,218,436,1199,2398,4796

Greatest Common Factor

We found the factors 130,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 130,4796 is 2.


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 6401/130, 8140/4796

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 6401/130, 8140/4796?

Answer: LCM of Numerators as per given numbers 6401/130, 8140/4796 is

LCM of Numerators i.e. for 6401,8140 is 1408220

GCF of denominators i.e. for 130,4796 is 2.

Thus, LCM of Fractions is 704110.Finally, LCM of Fractions for 6401/130, 8140/4796 is 704110.