Least Common Multiple of 317/29, 100/55, 401/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/29, 100/55, 401/860 quickly i.e. 12711700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/29, 100/55, 401/860 is 12711700.

LCM(317/29, 100/55, 401/860) = 12711700

LCM of 317/29, 100/55, 401/860

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 317/29,100/55,401/860

Given numbers are 317/29,100/55,401/860

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 317,100,401

Least Common Multiple of Numerators i.e. LCM of 317,100,401 is 12711700.

GCF of Denominators means GCF of 29,55,860 as per the given fractions.

GCF of 29,55,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,100,401

LCM of Fractions 317/29,100/55,401/860 is 12711700

Given numbers has no common factors except 1. So, there LCM is their product i.e 12711700

Least Common Multiple of 317,100,401 with GCF Formula

Least Common Multiple of 317,100,401 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 317,100,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,100,401) = 1

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

GCF(317,100,401) x common factors =1 x 1 = 1

LCM(317,100,401) = ( 317 × 100 × 401 ) / 1

LCM(317,100,401) = 12711700 / 1

LCM(317,100,401) = 12711700


Lets's calculate GCF of 29,55,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12711700/1

Therefore the LCM of Fractions 317/29,100/55,401/860 is 12711700

Greatest Common Factor of 29,55,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,55,860 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 29,55,860 . The biggest common factor number is the GCF number.
So the greatest common factor 29,55,860 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 317/29, 100/55, 401/860

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 317/29, 100/55, 401/860?

Answer: LCM of Numerators as per given numbers 317/29, 100/55, 401/860 is

LCM of Numerators i.e. for 317,100,401 is 12711700

GCF of denominators i.e. for 29,55,860 is 1.

Thus, LCM of Fractions is 12711700.Finally, LCM of Fractions for 317/29, 100/55, 401/860 is 12711700.