Least Common Multiple of 6770/976, 7728/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6770/976, 7728/670 quickly i.e. 13079640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6770/976, 7728/670 is 13079640.

LCM(6770/976, 7728/670) = 13079640

LCM of 6770/976, 7728/670

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 6770/976,7728/670

Given numbers are 6770/976,7728/670

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 6770,7728

Least Common Multiple of Numerators i.e. LCM of 6770,7728 is 26159280.

GCF of Denominators means GCF of 976,670 as per the given fractions.

GCF of 976,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6770,7728

LCM of Fractions 6770/976,7728/670 is 13079640

2 6770, 7728
3385, 3864

∴ So the LCM of the given numbers is 2 x 3385 x 3864 = 26159280

Least Common Multiple of 6770,7728 with GCF Formula

Least Common Multiple of 6770,7728 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 6770,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6770,7728) = 2

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

GCF(6770,7728) x common factors =2 x 1 = 2

LCM(6770,7728) = ( 6770 × 7728 ) / 2

LCM(6770,7728) = 52318560 / 2

LCM(6770,7728) = 26159280


Lets's calculate GCF of 976,670

2 976, 670
488, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26159280/2

Therefore the LCM of Fractions 6770/976,7728/670 is 13079640

Greatest Common Factor of 976,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,670 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 976,670 . The biggest common factor number is the GCF number.
So the greatest common factor 976,670 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 6770/976, 7728/670

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 6770/976, 7728/670?

Answer: LCM of Numerators as per given numbers 6770/976, 7728/670 is

LCM of Numerators i.e. for 6770,7728 is 26159280

GCF of denominators i.e. for 976,670 is 2.

Thus, LCM of Fractions is 13079640.Finally, LCM of Fractions for 6770/976, 7728/670 is 13079640.