Least Common Multiple of 744/164, 3079/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 744/164, 3079/233 quickly i.e. 2290776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/164, 3079/233 is 2290776.

LCM(744/164, 3079/233) = 2290776

LCM of 744/164, 3079/233

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 744/164,3079/233

Given numbers are 744/164,3079/233

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 744,3079

Least Common Multiple of Numerators i.e. LCM of 744,3079 is 2290776.

GCF of Denominators means GCF of 164,233 as per the given fractions.

GCF of 164,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,3079

LCM of Fractions 744/164,3079/233 is 2290776

Given numbers has no common factors except 1. So, there LCM is their product i.e 2290776

Least Common Multiple of 744,3079 with GCF Formula

Least Common Multiple of 744,3079 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 744,3079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,3079) = 1

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

GCF(744,3079) x common factors =1 x 1 = 1

LCM(744,3079) = ( 744 × 3079 ) / 1

LCM(744,3079) = 2290776 / 1

LCM(744,3079) = 2290776


Lets's calculate GCF of 164,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2290776/1

Therefore the LCM of Fractions 744/164,3079/233 is 2290776

Greatest Common Factor of 164,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,233 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 164,233 . The biggest common factor number is the GCF number.
So the greatest common factor 164,233 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 744/164, 3079/233

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 744/164, 3079/233?

Answer: LCM of Numerators as per given numbers 744/164, 3079/233 is

LCM of Numerators i.e. for 744,3079 is 2290776

GCF of denominators i.e. for 164,233 is 1.

Thus, LCM of Fractions is 2290776.Finally, LCM of Fractions for 744/164, 3079/233 is 2290776.