Least Common Multiple of 87/654, 6699/5841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/654, 6699/5841 quickly i.e. 2233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/654, 6699/5841 is 2233.

LCM(87/654, 6699/5841) = 2233

LCM of 87/654, 6699/5841

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 87/654,6699/5841

Given numbers are 87/654,6699/5841

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 87,6699

Least Common Multiple of Numerators i.e. LCM of 87,6699 is 6699.

GCF of Denominators means GCF of 654,5841 as per the given fractions.

GCF of 654,5841 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,6699

LCM of Fractions 87/654,6699/5841 is 2233

3 87, 6699
29 29, 2233
1, 77

∴ So the LCM of the given numbers is 3 x 29 x 1 x 77 = 6699

Least Common Multiple of 87,6699 with GCF Formula

Least Common Multiple of 87,6699 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 87,6699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,6699) = 87

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

GCF(87,6699) x common factors =87 x 1 = 87

LCM(87,6699) = ( 87 × 6699 ) / 87

LCM(87,6699) = 582813 / 87

LCM(87,6699) = 6699


Lets's calculate GCF of 654,5841

3 654, 5841
218, 1947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6699/3

Therefore the LCM of Fractions 87/654,6699/5841 is 2233

Greatest Common Factor of 654,5841 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,5841 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1,3,9,11,33,59,99,177,531,649,1947,5841

Greatest Common Factor

We found the factors 654,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 654,5841 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 87/654, 6699/5841

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 87/654, 6699/5841?

Answer: LCM of Numerators as per given numbers 87/654, 6699/5841 is

LCM of Numerators i.e. for 87,6699 is 6699

GCF of denominators i.e. for 654,5841 is 3.

Thus, LCM of Fractions is 2233.Finally, LCM of Fractions for 87/654, 6699/5841 is 2233.