Least Common Multiple of 567/230, 5803/4257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 567/230, 5803/4257 quickly i.e. 470043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/230, 5803/4257 is 470043.

LCM(567/230, 5803/4257) = 470043

LCM of 567/230, 5803/4257

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 567/230,5803/4257

Given numbers are 567/230,5803/4257

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 567,5803

Least Common Multiple of Numerators i.e. LCM of 567,5803 is 470043.

GCF of Denominators means GCF of 230,4257 as per the given fractions.

GCF of 230,4257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,5803

LCM of Fractions 567/230,5803/4257 is 470043

7 567, 5803
81, 829

∴ So the LCM of the given numbers is 7 x 81 x 829 = 470043

Least Common Multiple of 567,5803 with GCF Formula

Least Common Multiple of 567,5803 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 567,5803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,5803) = 7

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

GCF(567,5803) x common factors =7 x 1 = 7

LCM(567,5803) = ( 567 × 5803 ) / 7

LCM(567,5803) = 3290301 / 7

LCM(567,5803) = 470043


Lets's calculate GCF of 230,4257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470043/1

Therefore the LCM of Fractions 567/230,5803/4257 is 470043

Greatest Common Factor of 230,4257 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,4257 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 4257

List of positive integer factors of 4257 that divides 4257 without a remainder.

1,3,9,11,33,43,99,129,387,473,1419,4257

Greatest Common Factor

We found the factors 230,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 230,4257 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 567/230, 5803/4257

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 567/230, 5803/4257?

Answer: LCM of Numerators as per given numbers 567/230, 5803/4257 is

LCM of Numerators i.e. for 567,5803 is 470043

GCF of denominators i.e. for 230,4257 is 1.

Thus, LCM of Fractions is 470043.Finally, LCM of Fractions for 567/230, 5803/4257 is 470043.