Least Common Multiple of 31/44, 576/38, 683/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/44, 576/38, 683/474 quickly i.e. 6097824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/44, 576/38, 683/474 is 6097824.

LCM(31/44, 576/38, 683/474) = 6097824

LCM of 31/44, 576/38, 683/474

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 31/44,576/38,683/474

Given numbers are 31/44,576/38,683/474

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 31,576,683

Least Common Multiple of Numerators i.e. LCM of 31,576,683 is 12195648.

GCF of Denominators means GCF of 44,38,474 as per the given fractions.

GCF of 44,38,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,576,683

LCM of Fractions 31/44,576/38,683/474 is 6097824

Given numbers has no common factors except 1. So, there LCM is their product i.e 12195648

Least Common Multiple of 31,576,683 with GCF Formula

Least Common Multiple of 31,576,683 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 31,576,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,576,683) = 1

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

GCF(31,576,683) x common factors =1 x 1 = 1

LCM(31,576,683) = ( 31 × 576 × 683 ) / 1

LCM(31,576,683) = 12195648 / 1

LCM(31,576,683) = 12195648


Lets's calculate GCF of 44,38,474

2 44, 38, 474
22, 19, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12195648/2

Therefore the LCM of Fractions 31/44,576/38,683/474 is 6097824

Greatest Common Factor of 44,38,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,38,474 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 38

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

1,2,19,38

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 44,38,474 . The biggest common factor number is the GCF number.
So the greatest common factor 44,38,474 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 31/44, 576/38, 683/474

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 31/44, 576/38, 683/474?

Answer: LCM of Numerators as per given numbers 31/44, 576/38, 683/474 is

LCM of Numerators i.e. for 31,576,683 is 12195648

GCF of denominators i.e. for 44,38,474 is 2.

Thus, LCM of Fractions is 6097824.Finally, LCM of Fractions for 31/44, 576/38, 683/474 is 6097824.