Least Common Multiple of 12/664, 645/748, 593/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/664, 645/748, 593/226 quickly i.e. 764970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/664, 645/748, 593/226 is 764970.

LCM(12/664, 645/748, 593/226) = 764970

LCM of 12/664, 645/748, 593/226

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 12/664,645/748,593/226

Given numbers are 12/664,645/748,593/226

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 12,645,593

Least Common Multiple of Numerators i.e. LCM of 12,645,593 is 1529940.

GCF of Denominators means GCF of 664,748,226 as per the given fractions.

GCF of 664,748,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,645,593

LCM of Fractions 12/664,645/748,593/226 is 764970

3 12, 645, 593
4, 215, 593

∴ So the LCM of the given numbers is 3 x 4 x 215 x 593 = 1529940

Least Common Multiple of 12,645,593 with GCF Formula

Least Common Multiple of 12,645,593 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 12,645,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,645,593) = 1

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

GCF(12,645,593) x common factors =1 x 3 = 3

LCM(12,645,593) = ( 12 × 645 × 593 ) / 3

LCM(12,645,593) = 4589820 / 3

LCM(12,645,593) = 1529940


Lets's calculate GCF of 664,748,226

2 664, 748, 226
332, 374, 113

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1529940/2

Therefore the LCM of Fractions 12/664,645/748,593/226 is 764970

Greatest Common Factor of 664,748,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,748,226 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 664,748,226 . The biggest common factor number is the GCF number.
So the greatest common factor 664,748,226 is 2.


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 12/664, 645/748, 593/226

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 12/664, 645/748, 593/226?

Answer: LCM of Numerators as per given numbers 12/664, 645/748, 593/226 is

LCM of Numerators i.e. for 12,645,593 is 1529940

GCF of denominators i.e. for 664,748,226 is 2.

Thus, LCM of Fractions is 764970.Finally, LCM of Fractions for 12/664, 645/748, 593/226 is 764970.