Least Common Multiple of 7731/680, 6538/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7731/680, 6538/671 quickly i.e. 50545278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7731/680, 6538/671 is 50545278.

LCM(7731/680, 6538/671) = 50545278

LCM of 7731/680, 6538/671

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 7731/680,6538/671

Given numbers are 7731/680,6538/671

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 7731,6538

Least Common Multiple of Numerators i.e. LCM of 7731,6538 is 50545278.

GCF of Denominators means GCF of 680,671 as per the given fractions.

GCF of 680,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7731,6538

LCM of Fractions 7731/680,6538/671 is 50545278

Given numbers has no common factors except 1. So, there LCM is their product i.e 50545278

Least Common Multiple of 7731,6538 with GCF Formula

Least Common Multiple of 7731,6538 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 7731,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7731,6538) = 1

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

GCF(7731,6538) x common factors =1 x 1 = 1

LCM(7731,6538) = ( 7731 × 6538 ) / 1

LCM(7731,6538) = 50545278 / 1

LCM(7731,6538) = 50545278


Lets's calculate GCF of 680,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50545278/1

Therefore the LCM of Fractions 7731/680,6538/671 is 50545278

Greatest Common Factor of 680,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,671 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 680,671 . The biggest common factor number is the GCF number.
So the greatest common factor 680,671 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7731/680, 6538/671

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 7731/680, 6538/671?

Answer: LCM of Numerators as per given numbers 7731/680, 6538/671 is

LCM of Numerators i.e. for 7731,6538 is 50545278

GCF of denominators i.e. for 680,671 is 1.

Thus, LCM of Fractions is 50545278.Finally, LCM of Fractions for 7731/680, 6538/671 is 50545278.