Least Common Multiple of 6480/422, 2071/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6480/422, 2071/778 quickly i.e. 6710040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6480/422, 2071/778 is 6710040.

LCM(6480/422, 2071/778) = 6710040

LCM of 6480/422, 2071/778

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 6480/422,2071/778

Given numbers are 6480/422,2071/778

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 6480,2071

Least Common Multiple of Numerators i.e. LCM of 6480,2071 is 13420080.

GCF of Denominators means GCF of 422,778 as per the given fractions.

GCF of 422,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6480,2071

LCM of Fractions 6480/422,2071/778 is 6710040

Given numbers has no common factors except 1. So, there LCM is their product i.e 13420080

Least Common Multiple of 6480,2071 with GCF Formula

Least Common Multiple of 6480,2071 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 6480,2071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6480,2071) = 1

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

GCF(6480,2071) x common factors =1 x 1 = 1

LCM(6480,2071) = ( 6480 × 2071 ) / 1

LCM(6480,2071) = 13420080 / 1

LCM(6480,2071) = 13420080


Lets's calculate GCF of 422,778

2 422, 778
211, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13420080/2

Therefore the LCM of Fractions 6480/422,2071/778 is 6710040

Greatest Common Factor of 422,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,778 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 422,778 . The biggest common factor number is the GCF number.
So the greatest common factor 422,778 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 6480/422, 2071/778

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 6480/422, 2071/778?

Answer: LCM of Numerators as per given numbers 6480/422, 2071/778 is

LCM of Numerators i.e. for 6480,2071 is 13420080

GCF of denominators i.e. for 422,778 is 2.

Thus, LCM of Fractions is 6710040.Finally, LCM of Fractions for 6480/422, 2071/778 is 6710040.