Least Common Multiple of 57/344, 25/204, 276/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/344, 25/204, 276/155 quickly i.e. 131100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/344, 25/204, 276/155 is 131100.

LCM(57/344, 25/204, 276/155) = 131100

LCM of 57/344, 25/204, 276/155

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 57/344,25/204,276/155

Given numbers are 57/344,25/204,276/155

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 57,25,276

Least Common Multiple of Numerators i.e. LCM of 57,25,276 is 131100.

GCF of Denominators means GCF of 344,204,155 as per the given fractions.

GCF of 344,204,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,25,276

LCM of Fractions 57/344,25/204,276/155 is 131100

3 57, 25, 276
19, 25, 92

∴ So the LCM of the given numbers is 3 x 19 x 25 x 92 = 131100

Least Common Multiple of 57,25,276 with GCF Formula

Least Common Multiple of 57,25,276 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 57,25,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,25,276) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,25,276) x common factors =1 x 3 = 3

LCM(57,25,276) = ( 57 × 25 × 276 ) / 3

LCM(57,25,276) = 393300 / 3

LCM(57,25,276) = 131100


Lets's calculate GCF of 344,204,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131100/1

Therefore the LCM of Fractions 57/344,25/204,276/155 is 131100

Greatest Common Factor of 344,204,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,204,155 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 344,204,155 . The biggest common factor number is the GCF number.
So the greatest common factor 344,204,155 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 57/344, 25/204, 276/155

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 57/344, 25/204, 276/155?

Answer: LCM of Numerators as per given numbers 57/344, 25/204, 276/155 is

LCM of Numerators i.e. for 57,25,276 is 131100

GCF of denominators i.e. for 344,204,155 is 1.

Thus, LCM of Fractions is 131100.Finally, LCM of Fractions for 57/344, 25/204, 276/155 is 131100.