Least Common Multiple of 31/369, 605/764, 491/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/369, 605/764, 491/463 quickly i.e. 9208705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/369, 605/764, 491/463 is 9208705.

LCM(31/369, 605/764, 491/463) = 9208705

LCM of 31/369, 605/764, 491/463

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 31/369,605/764,491/463

Given numbers are 31/369,605/764,491/463

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 31,605,491

Least Common Multiple of Numerators i.e. LCM of 31,605,491 is 9208705.

GCF of Denominators means GCF of 369,764,463 as per the given fractions.

GCF of 369,764,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,605,491

LCM of Fractions 31/369,605/764,491/463 is 9208705

Given numbers has no common factors except 1. So, there LCM is their product i.e 9208705

Least Common Multiple of 31,605,491 with GCF Formula

Least Common Multiple of 31,605,491 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 31,605,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,605,491) = 1

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

GCF(31,605,491) x common factors =1 x 1 = 1

LCM(31,605,491) = ( 31 × 605 × 491 ) / 1

LCM(31,605,491) = 9208705 / 1

LCM(31,605,491) = 9208705


Lets's calculate GCF of 369,764,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9208705/1

Therefore the LCM of Fractions 31/369,605/764,491/463 is 9208705

Greatest Common Factor of 369,764,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,764,463 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 369,764,463 . The biggest common factor number is the GCF number.
So the greatest common factor 369,764,463 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 31/369, 605/764, 491/463

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 31/369, 605/764, 491/463?

Answer: LCM of Numerators as per given numbers 31/369, 605/764, 491/463 is

LCM of Numerators i.e. for 31,605,491 is 9208705

GCF of denominators i.e. for 369,764,463 is 1.

Thus, LCM of Fractions is 9208705.Finally, LCM of Fractions for 31/369, 605/764, 491/463 is 9208705.