Least Common Multiple of 10/814, 9087/2079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/814, 9087/2079 quickly i.e. 90870/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/814, 9087/2079 is 90870/11.

LCM(10/814, 9087/2079) = 90870/11

LCM of 10/814, 9087/2079

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 10/814,9087/2079

Given numbers are 10/814,9087/2079

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 10,9087

Least Common Multiple of Numerators i.e. LCM of 10,9087 is 90870.

GCF of Denominators means GCF of 814,2079 as per the given fractions.

GCF of 814,2079 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,9087

LCM of Fractions 10/814,9087/2079 is 90870/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 90870

Least Common Multiple of 10,9087 with GCF Formula

Least Common Multiple of 10,9087 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 10,9087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9087) = 1

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

GCF(10,9087) x common factors =1 x 1 = 1

LCM(10,9087) = ( 10 × 9087 ) / 1

LCM(10,9087) = 90870 / 1

LCM(10,9087) = 90870


Lets's calculate GCF of 814,2079

11 814, 2079
74, 189

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90870/11

Therefore the LCM of Fractions 10/814,9087/2079 is 90870/11

Greatest Common Factor of 814,2079 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,2079 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 2079

List of positive integer factors of 2079 that divides 2079 without a remainder.

1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079

Greatest Common Factor

We found the factors 814,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 814,2079 is 11.


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 10/814, 9087/2079

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 10/814, 9087/2079?

Answer: LCM of Numerators as per given numbers 10/814, 9087/2079 is

LCM of Numerators i.e. for 10,9087 is 90870

GCF of denominators i.e. for 814,2079 is 11.

Thus, LCM of Fractions is 90870/11.Finally, LCM of Fractions for 10/814, 9087/2079 is 90870/11.