Least Common Multiple of 973/581, 632/635, 791/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/581, 632/635, 791/394 quickly i.e. 69487768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/581, 632/635, 791/394 is 69487768.

LCM(973/581, 632/635, 791/394) = 69487768

LCM of 973/581, 632/635, 791/394

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 973/581,632/635,791/394

Given numbers are 973/581,632/635,791/394

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 973,632,791

Least Common Multiple of Numerators i.e. LCM of 973,632,791 is 69487768.

GCF of Denominators means GCF of 581,635,394 as per the given fractions.

GCF of 581,635,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,632,791

LCM of Fractions 973/581,632/635,791/394 is 69487768

7 973, 632, 791
139, 632, 113

∴ So the LCM of the given numbers is 7 x 139 x 632 x 113 = 69487768

Least Common Multiple of 973,632,791 with GCF Formula

Least Common Multiple of 973,632,791 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 973,632,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,632,791) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(973,632,791) x common factors =1 x 7 = 7

LCM(973,632,791) = ( 973 × 632 × 791 ) / 7

LCM(973,632,791) = 486414376 / 7

LCM(973,632,791) = 69487768


Lets's calculate GCF of 581,635,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69487768/1

Therefore the LCM of Fractions 973/581,632/635,791/394 is 69487768

Greatest Common Factor of 581,635,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,635,394 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 581,635,394 . The biggest common factor number is the GCF number.
So the greatest common factor 581,635,394 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 973/581, 632/635, 791/394

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 973/581, 632/635, 791/394?

Answer: LCM of Numerators as per given numbers 973/581, 632/635, 791/394 is

LCM of Numerators i.e. for 973,632,791 is 69487768

GCF of denominators i.e. for 581,635,394 is 1.

Thus, LCM of Fractions is 69487768.Finally, LCM of Fractions for 973/581, 632/635, 791/394 is 69487768.