Least Common Multiple of 9090/231, 2102/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9090/231, 2102/756 quickly i.e. 9553590/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9090/231, 2102/756 is 9553590/21.

LCM(9090/231, 2102/756) = 9553590/21

LCM of 9090/231, 2102/756

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 9090/231,2102/756

Given numbers are 9090/231,2102/756

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 9090,2102

Least Common Multiple of Numerators i.e. LCM of 9090,2102 is 9553590.

GCF of Denominators means GCF of 231,756 as per the given fractions.

GCF of 231,756 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9090,2102

LCM of Fractions 9090/231,2102/756 is 9553590/21

2 9090, 2102
4545, 1051

∴ So the LCM of the given numbers is 2 x 4545 x 1051 = 9553590

Least Common Multiple of 9090,2102 with GCF Formula

Least Common Multiple of 9090,2102 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 9090,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9090,2102) = 2

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

GCF(9090,2102) x common factors =2 x 1 = 2

LCM(9090,2102) = ( 9090 × 2102 ) / 2

LCM(9090,2102) = 19107180 / 2

LCM(9090,2102) = 9553590


Lets's calculate GCF of 231,756

3 231, 756
7 77, 252
11, 36

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9553590/21

Therefore the LCM of Fractions 9090/231,2102/756 is 9553590/21

Greatest Common Factor of 231,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,756 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 231,756 . The biggest common factor number is the GCF number.
So the greatest common factor 231,756 is 21.


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 9090/231, 2102/756

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 9090/231, 2102/756?

Answer: LCM of Numerators as per given numbers 9090/231, 2102/756 is

LCM of Numerators i.e. for 9090,2102 is 9553590

GCF of denominators i.e. for 231,756 is 21.

Thus, LCM of Fractions is 9553590/21.Finally, LCM of Fractions for 9090/231, 2102/756 is 9553590/21.