Least Common Multiple of 713/65, 223/36, 764/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/65, 223/36, 764/492 quickly i.e. 121475236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/65, 223/36, 764/492 is 121475236.

LCM(713/65, 223/36, 764/492) = 121475236

LCM of 713/65, 223/36, 764/492

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 713/65,223/36,764/492

Given numbers are 713/65,223/36,764/492

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 713,223,764

Least Common Multiple of Numerators i.e. LCM of 713,223,764 is 121475236.

GCF of Denominators means GCF of 65,36,492 as per the given fractions.

GCF of 65,36,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,223,764

LCM of Fractions 713/65,223/36,764/492 is 121475236

Given numbers has no common factors except 1. So, there LCM is their product i.e 121475236

Least Common Multiple of 713,223,764 with GCF Formula

Least Common Multiple of 713,223,764 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 713,223,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,223,764) = 1

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

GCF(713,223,764) x common factors =1 x 1 = 1

LCM(713,223,764) = ( 713 × 223 × 764 ) / 1

LCM(713,223,764) = 121475236 / 1

LCM(713,223,764) = 121475236


Lets's calculate GCF of 65,36,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121475236/1

Therefore the LCM of Fractions 713/65,223/36,764/492 is 121475236

Greatest Common Factor of 65,36,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,36,492 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 65,36,492 . The biggest common factor number is the GCF number.
So the greatest common factor 65,36,492 is 1.


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 713/65, 223/36, 764/492

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 713/65, 223/36, 764/492?

Answer: LCM of Numerators as per given numbers 713/65, 223/36, 764/492 is

LCM of Numerators i.e. for 713,223,764 is 121475236

GCF of denominators i.e. for 65,36,492 is 1.

Thus, LCM of Fractions is 121475236.Finally, LCM of Fractions for 713/65, 223/36, 764/492 is 121475236.