Least Common Multiple of 302/74, 438/38, 832/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/74, 438/38, 832/50 quickly i.e. 13756704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/74, 438/38, 832/50 is 13756704.

LCM(302/74, 438/38, 832/50) = 13756704

LCM of 302/74, 438/38, 832/50

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 302/74,438/38,832/50

Given numbers are 302/74,438/38,832/50

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 302,438,832

Least Common Multiple of Numerators i.e. LCM of 302,438,832 is 27513408.

GCF of Denominators means GCF of 74,38,50 as per the given fractions.

GCF of 74,38,50 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,438,832

LCM of Fractions 302/74,438/38,832/50 is 13756704

2 302, 438, 832
151, 219, 416

∴ So the LCM of the given numbers is 2 x 151 x 219 x 416 = 27513408

Least Common Multiple of 302,438,832 with GCF Formula

Least Common Multiple of 302,438,832 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 302,438,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,438,832) = 2

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

GCF(302,438,832) x common factors =2 x 2 = 4

LCM(302,438,832) = ( 302 × 438 × 832 ) / 4

LCM(302,438,832) = 110053632 / 4

LCM(302,438,832) = 27513408


Lets's calculate GCF of 74,38,50

2 74, 38, 50
37, 19, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27513408/2

Therefore the LCM of Fractions 302/74,438/38,832/50 is 13756704

Greatest Common Factor of 74,38,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,38,50 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 50

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

1,2,5,10,25,50

Greatest Common Factor

We found the factors 74,38,50 . The biggest common factor number is the GCF number.
So the greatest common factor 74,38,50 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 302/74, 438/38, 832/50

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 302/74, 438/38, 832/50?

Answer: LCM of Numerators as per given numbers 302/74, 438/38, 832/50 is

LCM of Numerators i.e. for 302,438,832 is 27513408

GCF of denominators i.e. for 74,38,50 is 2.

Thus, LCM of Fractions is 13756704.Finally, LCM of Fractions for 302/74, 438/38, 832/50 is 13756704.