Least Common Multiple of 791/702, 909/147, 363/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 791/702, 909/147, 363/860 quickly i.e. 87001299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/702, 909/147, 363/860 is 87001299.

LCM(791/702, 909/147, 363/860) = 87001299

LCM of 791/702, 909/147, 363/860

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 791/702,909/147,363/860

Given numbers are 791/702,909/147,363/860

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 791,909,363

Least Common Multiple of Numerators i.e. LCM of 791,909,363 is 87001299.

GCF of Denominators means GCF of 702,147,860 as per the given fractions.

GCF of 702,147,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,909,363

LCM of Fractions 791/702,909/147,363/860 is 87001299

3 791, 909, 363
791, 303, 121

∴ So the LCM of the given numbers is 3 x 791 x 303 x 121 = 87001299

Least Common Multiple of 791,909,363 with GCF Formula

Least Common Multiple of 791,909,363 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 791,909,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,909,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(791,909,363) x common factors =1 x 3 = 3

LCM(791,909,363) = ( 791 × 909 × 363 ) / 3

LCM(791,909,363) = 261003897 / 3

LCM(791,909,363) = 87001299


Lets's calculate GCF of 702,147,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87001299/1

Therefore the LCM of Fractions 791/702,909/147,363/860 is 87001299

Greatest Common Factor of 702,147,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,147,860 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 702,147,860 . The biggest common factor number is the GCF number.
So the greatest common factor 702,147,860 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 791/702, 909/147, 363/860

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 791/702, 909/147, 363/860?

Answer: LCM of Numerators as per given numbers 791/702, 909/147, 363/860 is

LCM of Numerators i.e. for 791,909,363 is 87001299

GCF of denominators i.e. for 702,147,860 is 1.

Thus, LCM of Fractions is 87001299.Finally, LCM of Fractions for 791/702, 909/147, 363/860 is 87001299.