Least Common Multiple of 9/74, 89/460, 76/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/74, 89/460, 76/339 quickly i.e. 60876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/74, 89/460, 76/339 is 60876.

LCM(9/74, 89/460, 76/339) = 60876

LCM of 9/74, 89/460, 76/339

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 9/74,89/460,76/339

Given numbers are 9/74,89/460,76/339

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 9,89,76

Least Common Multiple of Numerators i.e. LCM of 9,89,76 is 60876.

GCF of Denominators means GCF of 74,460,339 as per the given fractions.

GCF of 74,460,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,89,76

LCM of Fractions 9/74,89/460,76/339 is 60876

Given numbers has no common factors except 1. So, there LCM is their product i.e 60876

Least Common Multiple of 9,89,76 with GCF Formula

Least Common Multiple of 9,89,76 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 9,89,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,89,76) = 1

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

GCF(9,89,76) x common factors =1 x 1 = 1

LCM(9,89,76) = ( 9 × 89 × 76 ) / 1

LCM(9,89,76) = 60876 / 1

LCM(9,89,76) = 60876


Lets's calculate GCF of 74,460,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60876/1

Therefore the LCM of Fractions 9/74,89/460,76/339 is 60876

Greatest Common Factor of 74,460,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,460,339 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 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 74,460,339 . The biggest common factor number is the GCF number.
So the greatest common factor 74,460,339 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 9/74, 89/460, 76/339

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 9/74, 89/460, 76/339?

Answer: LCM of Numerators as per given numbers 9/74, 89/460, 76/339 is

LCM of Numerators i.e. for 9,89,76 is 60876

GCF of denominators i.e. for 74,460,339 is 1.

Thus, LCM of Fractions is 60876.Finally, LCM of Fractions for 9/74, 89/460, 76/339 is 60876.