Least Common Multiple of 507/713, 1114/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/713, 1114/744 quickly i.e. 564798/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/713, 1114/744 is 564798/31.

LCM(507/713, 1114/744) = 564798/31

LCM of 507/713, 1114/744

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 507/713,1114/744

Given numbers are 507/713,1114/744

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 507,1114

Least Common Multiple of Numerators i.e. LCM of 507,1114 is 564798.

GCF of Denominators means GCF of 713,744 as per the given fractions.

GCF of 713,744 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,1114

LCM of Fractions 507/713,1114/744 is 564798/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 564798

Least Common Multiple of 507,1114 with GCF Formula

Least Common Multiple of 507,1114 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 507,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,1114) = 1

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

GCF(507,1114) x common factors =1 x 1 = 1

LCM(507,1114) = ( 507 × 1114 ) / 1

LCM(507,1114) = 564798 / 1

LCM(507,1114) = 564798


Lets's calculate GCF of 713,744

31 713, 744
23, 24

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564798/31

Therefore the LCM of Fractions 507/713,1114/744 is 564798/31

Greatest Common Factor of 713,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,744 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

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

Greatest Common Factor

We found the factors 713,744 . The biggest common factor number is the GCF number.
So the greatest common factor 713,744 is 31.


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 507/713, 1114/744

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 507/713, 1114/744?

Answer: LCM of Numerators as per given numbers 507/713, 1114/744 is

LCM of Numerators i.e. for 507,1114 is 564798

GCF of denominators i.e. for 713,744 is 31.

Thus, LCM of Fractions is 564798/31.Finally, LCM of Fractions for 507/713, 1114/744 is 564798/31.