Least Common Multiple of 575/214, 400/547, 997/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/214, 400/547, 997/820 quickly i.e. 9172400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/214, 400/547, 997/820 is 9172400.

LCM(575/214, 400/547, 997/820) = 9172400

LCM of 575/214, 400/547, 997/820

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 575/214,400/547,997/820

Given numbers are 575/214,400/547,997/820

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 575,400,997

Least Common Multiple of Numerators i.e. LCM of 575,400,997 is 9172400.

GCF of Denominators means GCF of 214,547,820 as per the given fractions.

GCF of 214,547,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,400,997

LCM of Fractions 575/214,400/547,997/820 is 9172400

5 575, 400, 997
5 115, 80, 997
23, 16, 997

∴ So the LCM of the given numbers is 5 x 5 x 23 x 16 x 997 = 9172400

Least Common Multiple of 575,400,997 with GCF Formula

Least Common Multiple of 575,400,997 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 575,400,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,400,997) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(575,400,997) x common factors =1 x 25 = 25

LCM(575,400,997) = ( 575 × 400 × 997 ) / 25

LCM(575,400,997) = 229310000 / 25

LCM(575,400,997) = 9172400


Lets's calculate GCF of 214,547,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9172400/1

Therefore the LCM of Fractions 575/214,400/547,997/820 is 9172400

Greatest Common Factor of 214,547,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,547,820 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 214,547,820 . The biggest common factor number is the GCF number.
So the greatest common factor 214,547,820 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 575/214, 400/547, 997/820

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 575/214, 400/547, 997/820?

Answer: LCM of Numerators as per given numbers 575/214, 400/547, 997/820 is

LCM of Numerators i.e. for 575,400,997 is 9172400

GCF of denominators i.e. for 214,547,820 is 1.

Thus, LCM of Fractions is 9172400.Finally, LCM of Fractions for 575/214, 400/547, 997/820 is 9172400.