Least Common Multiple of 4080/681, 7867/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4080/681, 7867/543 quickly i.e. 10699120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4080/681, 7867/543 is 10699120.

LCM(4080/681, 7867/543) = 10699120

LCM of 4080/681, 7867/543

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 4080/681,7867/543

Given numbers are 4080/681,7867/543

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 4080,7867

Least Common Multiple of Numerators i.e. LCM of 4080,7867 is 32097360.

GCF of Denominators means GCF of 681,543 as per the given fractions.

GCF of 681,543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4080,7867

LCM of Fractions 4080/681,7867/543 is 10699120

Given numbers has no common factors except 1. So, there LCM is their product i.e 32097360

Least Common Multiple of 4080,7867 with GCF Formula

Least Common Multiple of 4080,7867 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 4080,7867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4080,7867) = 1

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

GCF(4080,7867) x common factors =1 x 1 = 1

LCM(4080,7867) = ( 4080 × 7867 ) / 1

LCM(4080,7867) = 32097360 / 1

LCM(4080,7867) = 32097360


Lets's calculate GCF of 681,543

3 681, 543
227, 181

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32097360/3

Therefore the LCM of Fractions 4080/681,7867/543 is 10699120

Greatest Common Factor of 681,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,543 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 681,543 . The biggest common factor number is the GCF number.
So the greatest common factor 681,543 is 3.


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 4080/681, 7867/543

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 4080/681, 7867/543?

Answer: LCM of Numerators as per given numbers 4080/681, 7867/543 is

LCM of Numerators i.e. for 4080,7867 is 32097360

GCF of denominators i.e. for 681,543 is 3.

Thus, LCM of Fractions is 10699120.Finally, LCM of Fractions for 4080/681, 7867/543 is 10699120.