Least Common Multiple of 671/588, 7399/6564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 671/588, 7399/6564 quickly i.e. 4964729/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/588, 7399/6564 is 4964729/12.

LCM(671/588, 7399/6564) = 4964729/12

LCM of 671/588, 7399/6564

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 671/588,7399/6564

Given numbers are 671/588,7399/6564

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 671,7399

Least Common Multiple of Numerators i.e. LCM of 671,7399 is 4964729.

GCF of Denominators means GCF of 588,6564 as per the given fractions.

GCF of 588,6564 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,7399

LCM of Fractions 671/588,7399/6564 is 4964729/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 4964729

Least Common Multiple of 671,7399 with GCF Formula

Least Common Multiple of 671,7399 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 671,7399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,7399) = 1

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

GCF(671,7399) x common factors =1 x 1 = 1

LCM(671,7399) = ( 671 × 7399 ) / 1

LCM(671,7399) = 4964729 / 1

LCM(671,7399) = 4964729


Lets's calculate GCF of 588,6564

2 588, 6564
2 294, 3282
3 147, 1641
49, 547

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4964729/12

Therefore the LCM of Fractions 671/588,7399/6564 is 4964729/12

Greatest Common Factor of 588,6564 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,6564 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1,2,3,4,6,12,547,1094,1641,2188,3282,6564

Greatest Common Factor

We found the factors 588,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 588,6564 is 12.


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Frequently Asked Questions on Fractional LCM of 671/588, 7399/6564

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 671/588, 7399/6564?

Answer: LCM of Numerators as per given numbers 671/588, 7399/6564 is

LCM of Numerators i.e. for 671,7399 is 4964729

GCF of denominators i.e. for 588,6564 is 12.

Thus, LCM of Fractions is 4964729/12.Finally, LCM of Fractions for 671/588, 7399/6564 is 4964729/12.