Least Common Multiple of 424/714, 229/113, 563/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/714, 229/113, 563/571 quickly i.e. 54665048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/714, 229/113, 563/571 is 54665048.

LCM(424/714, 229/113, 563/571) = 54665048

LCM of 424/714, 229/113, 563/571

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 424/714,229/113,563/571

Given numbers are 424/714,229/113,563/571

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 424,229,563

Least Common Multiple of Numerators i.e. LCM of 424,229,563 is 54665048.

GCF of Denominators means GCF of 714,113,571 as per the given fractions.

GCF of 714,113,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,229,563

LCM of Fractions 424/714,229/113,563/571 is 54665048

Given numbers has no common factors except 1. So, there LCM is their product i.e 54665048

Least Common Multiple of 424,229,563 with GCF Formula

Least Common Multiple of 424,229,563 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 424,229,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,229,563) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(424,229,563) x common factors =1 x 1 = 1

LCM(424,229,563) = ( 424 × 229 × 563 ) / 1

LCM(424,229,563) = 54665048 / 1

LCM(424,229,563) = 54665048


Lets's calculate GCF of 714,113,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54665048/1

Therefore the LCM of Fractions 424/714,229/113,563/571 is 54665048

Greatest Common Factor of 714,113,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,113,571 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 714,113,571 . The biggest common factor number is the GCF number.
So the greatest common factor 714,113,571 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 424/714, 229/113, 563/571

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 424/714, 229/113, 563/571?

Answer: LCM of Numerators as per given numbers 424/714, 229/113, 563/571 is

LCM of Numerators i.e. for 424,229,563 is 54665048

GCF of denominators i.e. for 714,113,571 is 1.

Thus, LCM of Fractions is 54665048.Finally, LCM of Fractions for 424/714, 229/113, 563/571 is 54665048.