Least Common Multiple of 674/73, 582/14, 139/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/73, 582/14, 139/323 quickly i.e. 27262626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/73, 582/14, 139/323 is 27262626.

LCM(674/73, 582/14, 139/323) = 27262626

LCM of 674/73, 582/14, 139/323

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 674/73,582/14,139/323

Given numbers are 674/73,582/14,139/323

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 674,582,139

Least Common Multiple of Numerators i.e. LCM of 674,582,139 is 27262626.

GCF of Denominators means GCF of 73,14,323 as per the given fractions.

GCF of 73,14,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,582,139

LCM of Fractions 674/73,582/14,139/323 is 27262626

2 674, 582, 139
337, 291, 139

∴ So the LCM of the given numbers is 2 x 337 x 291 x 139 = 27262626

Least Common Multiple of 674,582,139 with GCF Formula

Least Common Multiple of 674,582,139 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 674,582,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,582,139) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(674,582,139) x common factors =1 x 2 = 2

LCM(674,582,139) = ( 674 × 582 × 139 ) / 2

LCM(674,582,139) = 54525252 / 2

LCM(674,582,139) = 27262626


Lets's calculate GCF of 73,14,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27262626/1

Therefore the LCM of Fractions 674/73,582/14,139/323 is 27262626

Greatest Common Factor of 73,14,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,14,323 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 73,14,323 . The biggest common factor number is the GCF number.
So the greatest common factor 73,14,323 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 674/73, 582/14, 139/323

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 674/73, 582/14, 139/323?

Answer: LCM of Numerators as per given numbers 674/73, 582/14, 139/323 is

LCM of Numerators i.e. for 674,582,139 is 27262626

GCF of denominators i.e. for 73,14,323 is 1.

Thus, LCM of Fractions is 27262626.Finally, LCM of Fractions for 674/73, 582/14, 139/323 is 27262626.