Least Common Multiple of 205/344, 368/207, 857/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/344, 368/207, 857/180 quickly i.e. 64652080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/344, 368/207, 857/180 is 64652080.

LCM(205/344, 368/207, 857/180) = 64652080

LCM of 205/344, 368/207, 857/180

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 205/344,368/207,857/180

Given numbers are 205/344,368/207,857/180

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 205,368,857

Least Common Multiple of Numerators i.e. LCM of 205,368,857 is 64652080.

GCF of Denominators means GCF of 344,207,180 as per the given fractions.

GCF of 344,207,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,368,857

LCM of Fractions 205/344,368/207,857/180 is 64652080

Given numbers has no common factors except 1. So, there LCM is their product i.e 64652080

Least Common Multiple of 205,368,857 with GCF Formula

Least Common Multiple of 205,368,857 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 205,368,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,368,857) = 1

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

GCF(205,368,857) x common factors =1 x 1 = 1

LCM(205,368,857) = ( 205 × 368 × 857 ) / 1

LCM(205,368,857) = 64652080 / 1

LCM(205,368,857) = 64652080


Lets's calculate GCF of 344,207,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64652080/1

Therefore the LCM of Fractions 205/344,368/207,857/180 is 64652080

Greatest Common Factor of 344,207,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,207,180 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 344,207,180 . The biggest common factor number is the GCF number.
So the greatest common factor 344,207,180 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 205/344, 368/207, 857/180

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 205/344, 368/207, 857/180?

Answer: LCM of Numerators as per given numbers 205/344, 368/207, 857/180 is

LCM of Numerators i.e. for 205,368,857 is 64652080

GCF of denominators i.e. for 344,207,180 is 1.

Thus, LCM of Fractions is 64652080.Finally, LCM of Fractions for 205/344, 368/207, 857/180 is 64652080.