Least Common Multiple of 78/62, 38/30, 939/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/62, 38/30, 939/692 quickly i.e. 231933 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/62, 38/30, 939/692 is 231933.

LCM(78/62, 38/30, 939/692) = 231933

LCM of 78/62, 38/30, 939/692

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 78/62,38/30,939/692

Given numbers are 78/62,38/30,939/692

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 78,38,939

Least Common Multiple of Numerators i.e. LCM of 78,38,939 is 463866.

GCF of Denominators means GCF of 62,30,692 as per the given fractions.

GCF of 62,30,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,38,939

LCM of Fractions 78/62,38/30,939/692 is 231933

2 78, 38, 939
3 39, 19, 939
13, 19, 313

∴ So the LCM of the given numbers is 2 x 3 x 13 x 19 x 313 = 463866

Least Common Multiple of 78,38,939 with GCF Formula

Least Common Multiple of 78,38,939 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 78,38,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,38,939) = 1

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

GCF(78,38,939) x common factors =1 x 6 = 6

LCM(78,38,939) = ( 78 × 38 × 939 ) / 6

LCM(78,38,939) = 2783196 / 6

LCM(78,38,939) = 463866


Lets's calculate GCF of 62,30,692

2 62, 30, 692
31, 15, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463866/2

Therefore the LCM of Fractions 78/62,38/30,939/692 is 231933

Greatest Common Factor of 62,30,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,30,692 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 62,30,692 . The biggest common factor number is the GCF number.
So the greatest common factor 62,30,692 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 78/62, 38/30, 939/692

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 78/62, 38/30, 939/692?

Answer: LCM of Numerators as per given numbers 78/62, 38/30, 939/692 is

LCM of Numerators i.e. for 78,38,939 is 463866

GCF of denominators i.e. for 62,30,692 is 2.

Thus, LCM of Fractions is 231933.Finally, LCM of Fractions for 78/62, 38/30, 939/692 is 231933.