Least Common Multiple of 574/475, 220/297, 475/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 574/475, 220/297, 475/805 quickly i.e. 5998300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/475, 220/297, 475/805 is 5998300.

LCM(574/475, 220/297, 475/805) = 5998300

LCM of 574/475, 220/297, 475/805

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 574/475,220/297,475/805

Given numbers are 574/475,220/297,475/805

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 574,220,475

Least Common Multiple of Numerators i.e. LCM of 574,220,475 is 5998300.

GCF of Denominators means GCF of 475,297,805 as per the given fractions.

GCF of 475,297,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,220,475

LCM of Fractions 574/475,220/297,475/805 is 5998300

2 574, 220, 475
5 287, 110, 475
287, 22, 95

∴ So the LCM of the given numbers is 2 x 5 x 287 x 22 x 95 = 5998300

Least Common Multiple of 574,220,475 with GCF Formula

Least Common Multiple of 574,220,475 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 574,220,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,220,475) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(574,220,475) x common factors =1 x 10 = 10

LCM(574,220,475) = ( 574 × 220 × 475 ) / 10

LCM(574,220,475) = 59983000 / 10

LCM(574,220,475) = 5998300


Lets's calculate GCF of 475,297,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5998300/1

Therefore the LCM of Fractions 574/475,220/297,475/805 is 5998300

Greatest Common Factor of 475,297,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,297,805 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 475,297,805 . The biggest common factor number is the GCF number.
So the greatest common factor 475,297,805 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 574/475, 220/297, 475/805

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 574/475, 220/297, 475/805?

Answer: LCM of Numerators as per given numbers 574/475, 220/297, 475/805 is

LCM of Numerators i.e. for 574,220,475 is 5998300

GCF of denominators i.e. for 475,297,805 is 1.

Thus, LCM of Fractions is 5998300.Finally, LCM of Fractions for 574/475, 220/297, 475/805 is 5998300.