Least Common Multiple of 286/20, 311/6704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/20, 311/6704 quickly i.e. 88946/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/20, 311/6704 is 88946/4.

LCM(286/20, 311/6704) = 88946/4

LCM of 286/20, 311/6704

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 286/20,311/6704

Given numbers are 286/20,311/6704

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 286,311

Least Common Multiple of Numerators i.e. LCM of 286,311 is 88946.

GCF of Denominators means GCF of 20,6704 as per the given fractions.

GCF of 20,6704 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,311

LCM of Fractions 286/20,311/6704 is 88946/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 88946

Least Common Multiple of 286,311 with GCF Formula

Least Common Multiple of 286,311 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 286,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,311) = 1

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

GCF(286,311) x common factors =1 x 1 = 1

LCM(286,311) = ( 286 × 311 ) / 1

LCM(286,311) = 88946 / 1

LCM(286,311) = 88946


Lets's calculate GCF of 20,6704

2 20, 6704
2 10, 3352
5, 1676

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88946/4

Therefore the LCM of Fractions 286/20,311/6704 is 88946/4

Greatest Common Factor of 20,6704 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,6704 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1,2,4,8,16,419,838,1676,3352,6704

Greatest Common Factor

We found the factors 20,6704 . The biggest common factor number is the GCF number.
So the greatest common factor 20,6704 is 4.


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 286/20, 311/6704

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 286/20, 311/6704?

Answer: LCM of Numerators as per given numbers 286/20, 311/6704 is

LCM of Numerators i.e. for 286,311 is 88946

GCF of denominators i.e. for 20,6704 is 4.

Thus, LCM of Fractions is 88946/4.Finally, LCM of Fractions for 286/20, 311/6704 is 88946/4.