Least Common Multiple of 752/744, 313/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/744, 313/580 quickly i.e. 58844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/744, 313/580 is 58844.

LCM(752/744, 313/580) = 58844

LCM of 752/744, 313/580

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 752/744,313/580

Given numbers are 752/744,313/580

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 752,313

Least Common Multiple of Numerators i.e. LCM of 752,313 is 235376.

GCF of Denominators means GCF of 744,580 as per the given fractions.

GCF of 744,580 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,313

LCM of Fractions 752/744,313/580 is 58844

Given numbers has no common factors except 1. So, there LCM is their product i.e 235376

Least Common Multiple of 752,313 with GCF Formula

Least Common Multiple of 752,313 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 752,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,313) = 1

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

GCF(752,313) x common factors =1 x 1 = 1

LCM(752,313) = ( 752 × 313 ) / 1

LCM(752,313) = 235376 / 1

LCM(752,313) = 235376


Lets's calculate GCF of 744,580

2 744, 580
2 372, 290
186, 145

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235376/4

Therefore the LCM of Fractions 752/744,313/580 is 58844

Greatest Common Factor of 744,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,580 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 744,580 . The biggest common factor number is the GCF number.
So the greatest common factor 744,580 is 4.


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 752/744, 313/580

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 752/744, 313/580?

Answer: LCM of Numerators as per given numbers 752/744, 313/580 is

LCM of Numerators i.e. for 752,313 is 235376

GCF of denominators i.e. for 744,580 is 4.

Thus, LCM of Fractions is 58844.Finally, LCM of Fractions for 752/744, 313/580 is 58844.