Least Common Multiple of 582/35, 741/41, 229/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/35, 741/41, 229/514 quickly i.e. 32919666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/35, 741/41, 229/514 is 32919666.

LCM(582/35, 741/41, 229/514) = 32919666

LCM of 582/35, 741/41, 229/514

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 582/35,741/41,229/514

Given numbers are 582/35,741/41,229/514

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 582,741,229

Least Common Multiple of Numerators i.e. LCM of 582,741,229 is 32919666.

GCF of Denominators means GCF of 35,41,514 as per the given fractions.

GCF of 35,41,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,741,229

LCM of Fractions 582/35,741/41,229/514 is 32919666

3 582, 741, 229
194, 247, 229

∴ So the LCM of the given numbers is 3 x 194 x 247 x 229 = 32919666

Least Common Multiple of 582,741,229 with GCF Formula

Least Common Multiple of 582,741,229 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 582,741,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,741,229) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(582,741,229) x common factors =1 x 3 = 3

LCM(582,741,229) = ( 582 × 741 × 229 ) / 3

LCM(582,741,229) = 98758998 / 3

LCM(582,741,229) = 32919666


Lets's calculate GCF of 35,41,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32919666/1

Therefore the LCM of Fractions 582/35,741/41,229/514 is 32919666

Greatest Common Factor of 35,41,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,41,514 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 35,41,514 . The biggest common factor number is the GCF number.
So the greatest common factor 35,41,514 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 582/35, 741/41, 229/514

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 582/35, 741/41, 229/514?

Answer: LCM of Numerators as per given numbers 582/35, 741/41, 229/514 is

LCM of Numerators i.e. for 582,741,229 is 32919666

GCF of denominators i.e. for 35,41,514 is 1.

Thus, LCM of Fractions is 32919666.Finally, LCM of Fractions for 582/35, 741/41, 229/514 is 32919666.