Least Common Multiple of 78/30, 79/52, 77/50, 38/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/30, 79/52, 77/50, 38/483 quickly i.e. 9015006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/30, 79/52, 77/50, 38/483 is 9015006.

LCM(78/30, 79/52, 77/50, 38/483) = 9015006

LCM of 78/30, 79/52, 77/50, 38/483

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 78/30,79/52,77/50,38/483

Given numbers are 78/30,79/52,77/50,38/483

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 78,79,77,38

Least Common Multiple of Numerators i.e. LCM of 78,79,77,38 is 9015006.

GCF of Denominators means GCF of 30,52,50,483 as per the given fractions.

GCF of 30,52,50,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,79,77,38

LCM of Fractions 78/30,79/52,77/50,38/483 is 9015006

2 78, 79, 77, 38
39, 79, 77, 19

∴ So the LCM of the given numbers is 2 x 39 x 79 x 77 x 19 = 9015006

Least Common Multiple of 78,79,77,38 with GCF Formula

Least Common Multiple of 78,79,77,38 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 78,79,77,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,79,77,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,79,77,38) x common factors =1 x 2 = 2

LCM(78,79,77,38) = ( 78 × 79 × 77 × 38 ) / 2

LCM(78,79,77,38) = 18030012 / 2

LCM(78,79,77,38) = 9015006


Lets's calculate GCF of 30,52,50,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9015006/1

Therefore the LCM of Fractions 78/30,79/52,77/50,38/483 is 9015006

Greatest Common Factor of 30,52,50,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,52,50,483 By Matching Biggest Common Factor Method

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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 30,52,50,483 . The biggest common factor number is the GCF number.
So the greatest common factor 30,52,50,483 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 78/30, 79/52, 77/50, 38/483

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 78/30, 79/52, 77/50, 38/483?

Answer: LCM of Numerators as per given numbers 78/30, 79/52, 77/50, 38/483 is

LCM of Numerators i.e. for 78,79,77,38 is 9015006

GCF of denominators i.e. for 30,52,50,483 is 1.

Thus, LCM of Fractions is 9015006.Finally, LCM of Fractions for 78/30, 79/52, 77/50, 38/483 is 9015006.