Least Common Multiple of 574/697, 755/291, 572/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/697, 755/291, 572/800 quickly i.e. 123943820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/697, 755/291, 572/800 is 123943820.

LCM(574/697, 755/291, 572/800) = 123943820

LCM of 574/697, 755/291, 572/800

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 574/697,755/291,572/800

Given numbers are 574/697,755/291,572/800

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 574,755,572

Least Common Multiple of Numerators i.e. LCM of 574,755,572 is 123943820.

GCF of Denominators means GCF of 697,291,800 as per the given fractions.

GCF of 697,291,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,755,572

LCM of Fractions 574/697,755/291,572/800 is 123943820

2 574, 755, 572
287, 755, 286

∴ So the LCM of the given numbers is 2 x 287 x 755 x 286 = 123943820

Least Common Multiple of 574,755,572 with GCF Formula

Least Common Multiple of 574,755,572 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 574,755,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,755,572) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(574,755,572) x common factors =1 x 2 = 2

LCM(574,755,572) = ( 574 × 755 × 572 ) / 2

LCM(574,755,572) = 247887640 / 2

LCM(574,755,572) = 123943820


Lets's calculate GCF of 697,291,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123943820/1

Therefore the LCM of Fractions 574/697,755/291,572/800 is 123943820

Greatest Common Factor of 697,291,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,291,800 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

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

Greatest Common Factor

We found the factors 697,291,800 . The biggest common factor number is the GCF number.
So the greatest common factor 697,291,800 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 574/697, 755/291, 572/800

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 574/697, 755/291, 572/800?

Answer: LCM of Numerators as per given numbers 574/697, 755/291, 572/800 is

LCM of Numerators i.e. for 574,755,572 is 123943820

GCF of denominators i.e. for 697,291,800 is 1.

Thus, LCM of Fractions is 123943820.Finally, LCM of Fractions for 574/697, 755/291, 572/800 is 123943820.