Least Common Multiple of 2130/208, 3087/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2130/208, 3087/988 quickly i.e. 2191770/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2130/208, 3087/988 is 2191770/52.

LCM(2130/208, 3087/988) = 2191770/52

LCM of 2130/208, 3087/988

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 2130/208,3087/988

Given numbers are 2130/208,3087/988

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 2130,3087

Least Common Multiple of Numerators i.e. LCM of 2130,3087 is 2191770.

GCF of Denominators means GCF of 208,988 as per the given fractions.

GCF of 208,988 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2130,3087

LCM of Fractions 2130/208,3087/988 is 2191770/52

3 2130, 3087
710, 1029

∴ So the LCM of the given numbers is 3 x 710 x 1029 = 2191770

Least Common Multiple of 2130,3087 with GCF Formula

Least Common Multiple of 2130,3087 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 2130,3087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2130,3087) = 3

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

GCF(2130,3087) x common factors =3 x 1 = 3

LCM(2130,3087) = ( 2130 × 3087 ) / 3

LCM(2130,3087) = 6575310 / 3

LCM(2130,3087) = 2191770


Lets's calculate GCF of 208,988

2 208, 988
2 104, 494
13 52, 247
4, 19

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2191770/52

Therefore the LCM of Fractions 2130/208,3087/988 is 2191770/52

Greatest Common Factor of 208,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,988 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 208,988 . The biggest common factor number is the GCF number.
So the greatest common factor 208,988 is 52.


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 2130/208, 3087/988

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 2130/208, 3087/988?

Answer: LCM of Numerators as per given numbers 2130/208, 3087/988 is

LCM of Numerators i.e. for 2130,3087 is 2191770

GCF of denominators i.e. for 208,988 is 52.

Thus, LCM of Fractions is 2191770/52.Finally, LCM of Fractions for 2130/208, 3087/988 is 2191770/52.