Least Common Multiple of 2589/422, 2535/3701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2589/422, 2535/3701 quickly i.e. 2187705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2589/422, 2535/3701 is 2187705.

LCM(2589/422, 2535/3701) = 2187705

LCM of 2589/422, 2535/3701

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 2589/422,2535/3701

Given numbers are 2589/422,2535/3701

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 2589,2535

Least Common Multiple of Numerators i.e. LCM of 2589,2535 is 2187705.

GCF of Denominators means GCF of 422,3701 as per the given fractions.

GCF of 422,3701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2589,2535

LCM of Fractions 2589/422,2535/3701 is 2187705

3 2589, 2535
863, 845

∴ So the LCM of the given numbers is 3 x 863 x 845 = 2187705

Least Common Multiple of 2589,2535 with GCF Formula

Least Common Multiple of 2589,2535 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 2589,2535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2589,2535) = 3

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

GCF(2589,2535) x common factors =3 x 1 = 3

LCM(2589,2535) = ( 2589 × 2535 ) / 3

LCM(2589,2535) = 6563115 / 3

LCM(2589,2535) = 2187705


Lets's calculate GCF of 422,3701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2187705/1

Therefore the LCM of Fractions 2589/422,2535/3701 is 2187705

Greatest Common Factor of 422,3701 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,3701 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 3701

List of positive integer factors of 3701 that divides 3701 without a remainder.

1,3701

Greatest Common Factor

We found the factors 422,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 422,3701 is 1.


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 2589/422, 2535/3701

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 2589/422, 2535/3701?

Answer: LCM of Numerators as per given numbers 2589/422, 2535/3701 is

LCM of Numerators i.e. for 2589,2535 is 2187705

GCF of denominators i.e. for 422,3701 is 1.

Thus, LCM of Fractions is 2187705.Finally, LCM of Fractions for 2589/422, 2535/3701 is 2187705.