Least Common Multiple of 331/60, 271/28, 491/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/60, 271/28, 491/576 quickly i.e. 44043191/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/60, 271/28, 491/576 is 44043191/4.

LCM(331/60, 271/28, 491/576) = 44043191/4

LCM of 331/60, 271/28, 491/576

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 331/60,271/28,491/576

Given numbers are 331/60,271/28,491/576

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 331,271,491

Least Common Multiple of Numerators i.e. LCM of 331,271,491 is 44043191.

GCF of Denominators means GCF of 60,28,576 as per the given fractions.

GCF of 60,28,576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,271,491

LCM of Fractions 331/60,271/28,491/576 is 44043191/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 44043191

Least Common Multiple of 331,271,491 with GCF Formula

Least Common Multiple of 331,271,491 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 331,271,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,271,491) = 1

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

GCF(331,271,491) x common factors =1 x 1 = 1

LCM(331,271,491) = ( 331 × 271 × 491 ) / 1

LCM(331,271,491) = 44043191 / 1

LCM(331,271,491) = 44043191


Lets's calculate GCF of 60,28,576

2 60, 28, 576
2 30, 14, 288
15, 7, 144

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44043191/4

Therefore the LCM of Fractions 331/60,271/28,491/576 is 44043191/4

Greatest Common Factor of 60,28,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,28,576 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 60,28,576 . The biggest common factor number is the GCF number.
So the greatest common factor 60,28,576 is 4.


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 331/60, 271/28, 491/576

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 331/60, 271/28, 491/576?

Answer: LCM of Numerators as per given numbers 331/60, 271/28, 491/576 is

LCM of Numerators i.e. for 331,271,491 is 44043191

GCF of denominators i.e. for 60,28,576 is 4.

Thus, LCM of Fractions is 44043191/4.Finally, LCM of Fractions for 331/60, 271/28, 491/576 is 44043191/4.