Least Common Multiple of 78/11, 710/65, 939/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/11, 710/65, 939/612 quickly i.e. 8666970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/11, 710/65, 939/612 is 8666970.

LCM(78/11, 710/65, 939/612) = 8666970

LCM of 78/11, 710/65, 939/612

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 78/11,710/65,939/612

Given numbers are 78/11,710/65,939/612

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 78,710,939

Least Common Multiple of Numerators i.e. LCM of 78,710,939 is 8666970.

GCF of Denominators means GCF of 11,65,612 as per the given fractions.

GCF of 11,65,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,710,939

LCM of Fractions 78/11,710/65,939/612 is 8666970

2 78, 710, 939
3 39, 355, 939
13, 355, 313

∴ So the LCM of the given numbers is 2 x 3 x 13 x 355 x 313 = 8666970

Least Common Multiple of 78,710,939 with GCF Formula

Least Common Multiple of 78,710,939 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 78,710,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,710,939) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,710,939) x common factors =1 x 6 = 6

LCM(78,710,939) = ( 78 × 710 × 939 ) / 6

LCM(78,710,939) = 52001820 / 6

LCM(78,710,939) = 8666970


Lets's calculate GCF of 11,65,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8666970/1

Therefore the LCM of Fractions 78/11,710/65,939/612 is 8666970

Greatest Common Factor of 11,65,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,65,612 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 65

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

1,5,13,65

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 11,65,612 . The biggest common factor number is the GCF number.
So the greatest common factor 11,65,612 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/11, 710/65, 939/612

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 78/11, 710/65, 939/612?

Answer: LCM of Numerators as per given numbers 78/11, 710/65, 939/612 is

LCM of Numerators i.e. for 78,710,939 is 8666970

GCF of denominators i.e. for 11,65,612 is 1.

Thus, LCM of Fractions is 8666970.Finally, LCM of Fractions for 78/11, 710/65, 939/612 is 8666970.