Least Common Multiple of 2585/861, 5661/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2585/861, 5661/825 quickly i.e. 4877895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2585/861, 5661/825 is 4877895.

LCM(2585/861, 5661/825) = 4877895

LCM of 2585/861, 5661/825

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 2585/861,5661/825

Given numbers are 2585/861,5661/825

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 2585,5661

Least Common Multiple of Numerators i.e. LCM of 2585,5661 is 14633685.

GCF of Denominators means GCF of 861,825 as per the given fractions.

GCF of 861,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2585,5661

LCM of Fractions 2585/861,5661/825 is 4877895

Given numbers has no common factors except 1. So, there LCM is their product i.e 14633685

Least Common Multiple of 2585,5661 with GCF Formula

Least Common Multiple of 2585,5661 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 2585,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2585,5661) = 1

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

GCF(2585,5661) x common factors =1 x 1 = 1

LCM(2585,5661) = ( 2585 × 5661 ) / 1

LCM(2585,5661) = 14633685 / 1

LCM(2585,5661) = 14633685


Lets's calculate GCF of 861,825

3 861, 825
287, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14633685/3

Therefore the LCM of Fractions 2585/861,5661/825 is 4877895

Greatest Common Factor of 861,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,825 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 861,825 . The biggest common factor number is the GCF number.
So the greatest common factor 861,825 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 2585/861, 5661/825

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 2585/861, 5661/825?

Answer: LCM of Numerators as per given numbers 2585/861, 5661/825 is

LCM of Numerators i.e. for 2585,5661 is 14633685

GCF of denominators i.e. for 861,825 is 3.

Thus, LCM of Fractions is 4877895.Finally, LCM of Fractions for 2585/861, 5661/825 is 4877895.