Least Common Multiple of 78/66, 631/28, 479/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/66, 631/28, 479/860 quickly i.e. 11787711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/66, 631/28, 479/860 is 11787711.

LCM(78/66, 631/28, 479/860) = 11787711

LCM of 78/66, 631/28, 479/860

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 78/66,631/28,479/860

Given numbers are 78/66,631/28,479/860

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 78,631,479

Least Common Multiple of Numerators i.e. LCM of 78,631,479 is 23575422.

GCF of Denominators means GCF of 66,28,860 as per the given fractions.

GCF of 66,28,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,631,479

LCM of Fractions 78/66,631/28,479/860 is 11787711

Given numbers has no common factors except 1. So, there LCM is their product i.e 23575422

Least Common Multiple of 78,631,479 with GCF Formula

Least Common Multiple of 78,631,479 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 78,631,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,631,479) = 1

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

GCF(78,631,479) x common factors =1 x 1 = 1

LCM(78,631,479) = ( 78 × 631 × 479 ) / 1

LCM(78,631,479) = 23575422 / 1

LCM(78,631,479) = 23575422


Lets's calculate GCF of 66,28,860

2 66, 28, 860
33, 14, 430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23575422/2

Therefore the LCM of Fractions 78/66,631/28,479/860 is 11787711

Greatest Common Factor of 66,28,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,28,860 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 66,28,860 . The biggest common factor number is the GCF number.
So the greatest common factor 66,28,860 is 2.


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 78/66, 631/28, 479/860

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 78/66, 631/28, 479/860?

Answer: LCM of Numerators as per given numbers 78/66, 631/28, 479/860 is

LCM of Numerators i.e. for 78,631,479 is 23575422

GCF of denominators i.e. for 66,28,860 is 2.

Thus, LCM of Fractions is 11787711.Finally, LCM of Fractions for 78/66, 631/28, 479/860 is 11787711.