Least Common Multiple of 57/834, 81/228, 672/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/834, 81/228, 672/174 quickly i.e. 57456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/834, 81/228, 672/174 is 57456.

LCM(57/834, 81/228, 672/174) = 57456

LCM of 57/834, 81/228, 672/174

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 57/834,81/228,672/174

Given numbers are 57/834,81/228,672/174

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 57,81,672

Least Common Multiple of Numerators i.e. LCM of 57,81,672 is 344736.

GCF of Denominators means GCF of 834,228,174 as per the given fractions.

GCF of 834,228,174 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,81,672

LCM of Fractions 57/834,81/228,672/174 is 57456

3 57, 81, 672
19, 27, 224

∴ So the LCM of the given numbers is 3 x 19 x 27 x 224 = 344736

Least Common Multiple of 57,81,672 with GCF Formula

Least Common Multiple of 57,81,672 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 57,81,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,81,672) = 3

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

GCF(57,81,672) x common factors =3 x 3 = 9

LCM(57,81,672) = ( 57 × 81 × 672 ) / 9

LCM(57,81,672) = 3102624 / 9

LCM(57,81,672) = 344736


Lets's calculate GCF of 834,228,174

2 834, 228, 174
3 417, 114, 87
139, 38, 29

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344736/6

Therefore the LCM of Fractions 57/834,81/228,672/174 is 57456

Greatest Common Factor of 834,228,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,228,174 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 834,228,174 . The biggest common factor number is the GCF number.
So the greatest common factor 834,228,174 is 6.


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 57/834, 81/228, 672/174

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 57/834, 81/228, 672/174?

Answer: LCM of Numerators as per given numbers 57/834, 81/228, 672/174 is

LCM of Numerators i.e. for 57,81,672 is 344736

GCF of denominators i.e. for 834,228,174 is 6.

Thus, LCM of Fractions is 57456.Finally, LCM of Fractions for 57/834, 81/228, 672/174 is 57456.