Least Common Multiple of 57/849, 428/289, 258/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/849, 428/289, 258/112 quickly i.e. 1049028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/849, 428/289, 258/112 is 1049028.

LCM(57/849, 428/289, 258/112) = 1049028

LCM of 57/849, 428/289, 258/112

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 57/849,428/289,258/112

Given numbers are 57/849,428/289,258/112

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 57,428,258

Least Common Multiple of Numerators i.e. LCM of 57,428,258 is 1049028.

GCF of Denominators means GCF of 849,289,112 as per the given fractions.

GCF of 849,289,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,428,258

LCM of Fractions 57/849,428/289,258/112 is 1049028

2 57, 428, 258
3 57, 214, 129
19, 214, 43

∴ So the LCM of the given numbers is 2 x 3 x 19 x 214 x 43 = 1049028

Least Common Multiple of 57,428,258 with GCF Formula

Least Common Multiple of 57,428,258 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 57,428,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,428,258) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,428,258) x common factors =1 x 6 = 6

LCM(57,428,258) = ( 57 × 428 × 258 ) / 6

LCM(57,428,258) = 6294168 / 6

LCM(57,428,258) = 1049028


Lets's calculate GCF of 849,289,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1049028/1

Therefore the LCM of Fractions 57/849,428/289,258/112 is 1049028

Greatest Common Factor of 849,289,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,289,112 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 849,289,112 . The biggest common factor number is the GCF number.
So the greatest common factor 849,289,112 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 57/849, 428/289, 258/112

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 57/849, 428/289, 258/112?

Answer: LCM of Numerators as per given numbers 57/849, 428/289, 258/112 is

LCM of Numerators i.e. for 57,428,258 is 1049028

GCF of denominators i.e. for 849,289,112 is 1.

Thus, LCM of Fractions is 1049028.Finally, LCM of Fractions for 57/849, 428/289, 258/112 is 1049028.