Least Common Multiple of 3635/261, 2814/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3635/261, 2814/118 quickly i.e. 10228890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3635/261, 2814/118 is 10228890.

LCM(3635/261, 2814/118) = 10228890

LCM of 3635/261, 2814/118

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 3635/261,2814/118

Given numbers are 3635/261,2814/118

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 3635,2814

Least Common Multiple of Numerators i.e. LCM of 3635,2814 is 10228890.

GCF of Denominators means GCF of 261,118 as per the given fractions.

GCF of 261,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3635,2814

LCM of Fractions 3635/261,2814/118 is 10228890

Given numbers has no common factors except 1. So, there LCM is their product i.e 10228890

Least Common Multiple of 3635,2814 with GCF Formula

Least Common Multiple of 3635,2814 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 3635,2814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3635,2814) = 1

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

GCF(3635,2814) x common factors =1 x 1 = 1

LCM(3635,2814) = ( 3635 × 2814 ) / 1

LCM(3635,2814) = 10228890 / 1

LCM(3635,2814) = 10228890


Lets's calculate GCF of 261,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10228890/1

Therefore the LCM of Fractions 3635/261,2814/118 is 10228890

Greatest Common Factor of 261,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,118 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 261,118 . The biggest common factor number is the GCF number.
So the greatest common factor 261,118 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 3635/261, 2814/118

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 3635/261, 2814/118?

Answer: LCM of Numerators as per given numbers 3635/261, 2814/118 is

LCM of Numerators i.e. for 3635,2814 is 10228890

GCF of denominators i.e. for 261,118 is 1.

Thus, LCM of Fractions is 10228890.Finally, LCM of Fractions for 3635/261, 2814/118 is 10228890.