Least Common Multiple of 57/429, 116/872, 194/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/429, 116/872, 194/271 quickly i.e. 641364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/429, 116/872, 194/271 is 641364.

LCM(57/429, 116/872, 194/271) = 641364

LCM of 57/429, 116/872, 194/271

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 57/429,116/872,194/271

Given numbers are 57/429,116/872,194/271

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 57,116,194

Least Common Multiple of Numerators i.e. LCM of 57,116,194 is 641364.

GCF of Denominators means GCF of 429,872,271 as per the given fractions.

GCF of 429,872,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,116,194

LCM of Fractions 57/429,116/872,194/271 is 641364

2 57, 116, 194
57, 58, 97

∴ So the LCM of the given numbers is 2 x 57 x 58 x 97 = 641364

Least Common Multiple of 57,116,194 with GCF Formula

Least Common Multiple of 57,116,194 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 57,116,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,116,194) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(57,116,194) x common factors =1 x 2 = 2

LCM(57,116,194) = ( 57 × 116 × 194 ) / 2

LCM(57,116,194) = 1282728 / 2

LCM(57,116,194) = 641364


Lets's calculate GCF of 429,872,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 641364/1

Therefore the LCM of Fractions 57/429,116/872,194/271 is 641364

Greatest Common Factor of 429,872,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,872,271 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 429,872,271 . The biggest common factor number is the GCF number.
So the greatest common factor 429,872,271 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 57/429, 116/872, 194/271

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 57/429, 116/872, 194/271?

Answer: LCM of Numerators as per given numbers 57/429, 116/872, 194/271 is

LCM of Numerators i.e. for 57,116,194 is 641364

GCF of denominators i.e. for 429,872,271 is 1.

Thus, LCM of Fractions is 641364.Finally, LCM of Fractions for 57/429, 116/872, 194/271 is 641364.