Least Common Multiple of 57/825, 21/800, 583/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/825, 21/800, 583/708 quickly i.e. 232617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/825, 21/800, 583/708 is 232617.

LCM(57/825, 21/800, 583/708) = 232617

LCM of 57/825, 21/800, 583/708

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 57/825,21/800,583/708

Given numbers are 57/825,21/800,583/708

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 57,21,583

Least Common Multiple of Numerators i.e. LCM of 57,21,583 is 232617.

GCF of Denominators means GCF of 825,800,708 as per the given fractions.

GCF of 825,800,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,21,583

LCM of Fractions 57/825,21/800,583/708 is 232617

3 57, 21, 583
19, 7, 583

∴ So the LCM of the given numbers is 3 x 19 x 7 x 583 = 232617

Least Common Multiple of 57,21,583 with GCF Formula

Least Common Multiple of 57,21,583 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 57,21,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,21,583) = 1

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

GCF(57,21,583) x common factors =1 x 3 = 3

LCM(57,21,583) = ( 57 × 21 × 583 ) / 3

LCM(57,21,583) = 697851 / 3

LCM(57,21,583) = 232617


Lets's calculate GCF of 825,800,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232617/1

Therefore the LCM of Fractions 57/825,21/800,583/708 is 232617

Greatest Common Factor of 825,800,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,800,708 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 825,800,708 . The biggest common factor number is the GCF number.
So the greatest common factor 825,800,708 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 57/825, 21/800, 583/708

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 57/825, 21/800, 583/708?

Answer: LCM of Numerators as per given numbers 57/825, 21/800, 583/708 is

LCM of Numerators i.e. for 57,21,583 is 232617

GCF of denominators i.e. for 825,800,708 is 1.

Thus, LCM of Fractions is 232617.Finally, LCM of Fractions for 57/825, 21/800, 583/708 is 232617.