Least Common Multiple of 57/225, 640/17, 831/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/225, 640/17, 831/788 quickly i.e. 10104960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/225, 640/17, 831/788 is 10104960.

LCM(57/225, 640/17, 831/788) = 10104960

LCM of 57/225, 640/17, 831/788

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 57/225,640/17,831/788

Given numbers are 57/225,640/17,831/788

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 57,640,831

Least Common Multiple of Numerators i.e. LCM of 57,640,831 is 10104960.

GCF of Denominators means GCF of 225,17,788 as per the given fractions.

GCF of 225,17,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,640,831

LCM of Fractions 57/225,640/17,831/788 is 10104960

3 57, 640, 831
19, 640, 277

∴ So the LCM of the given numbers is 3 x 19 x 640 x 277 = 10104960

Least Common Multiple of 57,640,831 with GCF Formula

Least Common Multiple of 57,640,831 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 57,640,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,640,831) = 1

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

GCF(57,640,831) x common factors =1 x 3 = 3

LCM(57,640,831) = ( 57 × 640 × 831 ) / 3

LCM(57,640,831) = 30314880 / 3

LCM(57,640,831) = 10104960


Lets's calculate GCF of 225,17,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10104960/1

Therefore the LCM of Fractions 57/225,640/17,831/788 is 10104960

Greatest Common Factor of 225,17,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,17,788 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 225,17,788 . The biggest common factor number is the GCF number.
So the greatest common factor 225,17,788 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 57/225, 640/17, 831/788

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 57/225, 640/17, 831/788?

Answer: LCM of Numerators as per given numbers 57/225, 640/17, 831/788 is

LCM of Numerators i.e. for 57,640,831 is 10104960

GCF of denominators i.e. for 225,17,788 is 1.

Thus, LCM of Fractions is 10104960.Finally, LCM of Fractions for 57/225, 640/17, 831/788 is 10104960.