Least Common Multiple of 9/12, 47/241, 77/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/12, 47/241, 77/578 quickly i.e. 32571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/12, 47/241, 77/578 is 32571.

LCM(9/12, 47/241, 77/578) = 32571

LCM of 9/12, 47/241, 77/578

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 9/12,47/241,77/578

Given numbers are 9/12,47/241,77/578

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 9,47,77

Least Common Multiple of Numerators i.e. LCM of 9,47,77 is 32571.

GCF of Denominators means GCF of 12,241,578 as per the given fractions.

GCF of 12,241,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,47,77

LCM of Fractions 9/12,47/241,77/578 is 32571

Given numbers has no common factors except 1. So, there LCM is their product i.e 32571

Least Common Multiple of 9,47,77 with GCF Formula

Least Common Multiple of 9,47,77 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 9,47,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,47,77) = 1

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

GCF(9,47,77) x common factors =1 x 1 = 1

LCM(9,47,77) = ( 9 × 47 × 77 ) / 1

LCM(9,47,77) = 32571 / 1

LCM(9,47,77) = 32571


Lets's calculate GCF of 12,241,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32571/1

Therefore the LCM of Fractions 9/12,47/241,77/578 is 32571

Greatest Common Factor of 12,241,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,241,578 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 12,241,578 . The biggest common factor number is the GCF number.
So the greatest common factor 12,241,578 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 9/12, 47/241, 77/578

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 9/12, 47/241, 77/578?

Answer: LCM of Numerators as per given numbers 9/12, 47/241, 77/578 is

LCM of Numerators i.e. for 9,47,77 is 32571

GCF of denominators i.e. for 12,241,578 is 1.

Thus, LCM of Fractions is 32571.Finally, LCM of Fractions for 9/12, 47/241, 77/578 is 32571.