Least Common Multiple of 57/238, 311/875, 849/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/238, 311/875, 849/236 quickly i.e. 5016741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/238, 311/875, 849/236 is 5016741.

LCM(57/238, 311/875, 849/236) = 5016741

LCM of 57/238, 311/875, 849/236

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 57/238,311/875,849/236

Given numbers are 57/238,311/875,849/236

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 57,311,849

Least Common Multiple of Numerators i.e. LCM of 57,311,849 is 5016741.

GCF of Denominators means GCF of 238,875,236 as per the given fractions.

GCF of 238,875,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,311,849

LCM of Fractions 57/238,311/875,849/236 is 5016741

3 57, 311, 849
19, 311, 283

∴ So the LCM of the given numbers is 3 x 19 x 311 x 283 = 5016741

Least Common Multiple of 57,311,849 with GCF Formula

Least Common Multiple of 57,311,849 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 57,311,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,311,849) = 1

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

GCF(57,311,849) x common factors =1 x 3 = 3

LCM(57,311,849) = ( 57 × 311 × 849 ) / 3

LCM(57,311,849) = 15050223 / 3

LCM(57,311,849) = 5016741


Lets's calculate GCF of 238,875,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5016741/1

Therefore the LCM of Fractions 57/238,311/875,849/236 is 5016741

Greatest Common Factor of 238,875,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,875,236 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 238,875,236 . The biggest common factor number is the GCF number.
So the greatest common factor 238,875,236 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 57/238, 311/875, 849/236

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 57/238, 311/875, 849/236?

Answer: LCM of Numerators as per given numbers 57/238, 311/875, 849/236 is

LCM of Numerators i.e. for 57,311,849 is 5016741

GCF of denominators i.e. for 238,875,236 is 1.

Thus, LCM of Fractions is 5016741.Finally, LCM of Fractions for 57/238, 311/875, 849/236 is 5016741.