Least Common Multiple of 679/371, 586/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/371, 586/424 quickly i.e. 397894/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/371, 586/424 is 397894/53.

LCM(679/371, 586/424) = 397894/53

LCM of 679/371, 586/424

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 679/371,586/424

Given numbers are 679/371,586/424

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 679,586

Least Common Multiple of Numerators i.e. LCM of 679,586 is 397894.

GCF of Denominators means GCF of 371,424 as per the given fractions.

GCF of 371,424 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,586

LCM of Fractions 679/371,586/424 is 397894/53

Given numbers has no common factors except 1. So, there LCM is their product i.e 397894

Least Common Multiple of 679,586 with GCF Formula

Least Common Multiple of 679,586 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 679,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,586) = 1

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

GCF(679,586) x common factors =1 x 1 = 1

LCM(679,586) = ( 679 × 586 ) / 1

LCM(679,586) = 397894 / 1

LCM(679,586) = 397894


Lets's calculate GCF of 371,424

53 371, 424
7, 8

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397894/53

Therefore the LCM of Fractions 679/371,586/424 is 397894/53

Greatest Common Factor of 371,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,424 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 371,424 . The biggest common factor number is the GCF number.
So the greatest common factor 371,424 is 53.


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 679/371, 586/424

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 679/371, 586/424?

Answer: LCM of Numerators as per given numbers 679/371, 586/424 is

LCM of Numerators i.e. for 679,586 is 397894

GCF of denominators i.e. for 371,424 is 53.

Thus, LCM of Fractions is 397894/53.Finally, LCM of Fractions for 679/371, 586/424 is 397894/53.