Least Common Multiple of 9/76, 13/74, 28/30, 41/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/76, 13/74, 28/30, 41/42 quickly i.e. 67158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/76, 13/74, 28/30, 41/42 is 67158.

LCM(9/76, 13/74, 28/30, 41/42) = 67158

LCM of 9/76, 13/74, 28/30, 41/42

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 9/76,13/74,28/30,41/42

Given numbers are 9/76,13/74,28/30,41/42

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 9,13,28,41

Least Common Multiple of Numerators i.e. LCM of 9,13,28,41 is 134316.

GCF of Denominators means GCF of 76,74,30,42 as per the given fractions.

GCF of 76,74,30,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,13,28,41

LCM of Fractions 9/76,13/74,28/30,41/42 is 67158

Given numbers has no common factors except 1. So, there LCM is their product i.e 134316

Least Common Multiple of 9,13,28,41 with GCF Formula

Least Common Multiple of 9,13,28,41 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 9,13,28,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,13,28,41) = 1

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

GCF(9,13,28,41) x common factors =1 x 1 = 1

LCM(9,13,28,41) = ( 9 × 13 × 28 × 41 ) / 1

LCM(9,13,28,41) = 134316 / 1

LCM(9,13,28,41) = 134316


Lets's calculate GCF of 76,74,30,42

2 76, 74, 30, 42
38, 37, 15, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134316/2

Therefore the LCM of Fractions 9/76,13/74,28/30,41/42 is 67158

Greatest Common Factor of 76,74,30,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,74,30,42 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 74

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

1,2,37,74

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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 76,74,30,42 . The biggest common factor number is the GCF number.
So the greatest common factor 76,74,30,42 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 9/76, 13/74, 28/30, 41/42

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 9/76, 13/74, 28/30, 41/42?

Answer: LCM of Numerators as per given numbers 9/76, 13/74, 28/30, 41/42 is

LCM of Numerators i.e. for 9,13,28,41 is 134316

GCF of denominators i.e. for 76,74,30,42 is 2.

Thus, LCM of Fractions is 67158.Finally, LCM of Fractions for 9/76, 13/74, 28/30, 41/42 is 67158.