Least Common Multiple of 31/395, 283/945, 732/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/395, 283/945, 732/711 quickly i.e. 6421836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/395, 283/945, 732/711 is 6421836.

LCM(31/395, 283/945, 732/711) = 6421836

LCM of 31/395, 283/945, 732/711

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 31/395,283/945,732/711

Given numbers are 31/395,283/945,732/711

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 31,283,732

Least Common Multiple of Numerators i.e. LCM of 31,283,732 is 6421836.

GCF of Denominators means GCF of 395,945,711 as per the given fractions.

GCF of 395,945,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,283,732

LCM of Fractions 31/395,283/945,732/711 is 6421836

Given numbers has no common factors except 1. So, there LCM is their product i.e 6421836

Least Common Multiple of 31,283,732 with GCF Formula

Least Common Multiple of 31,283,732 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 31,283,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,283,732) = 1

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

GCF(31,283,732) x common factors =1 x 1 = 1

LCM(31,283,732) = ( 31 × 283 × 732 ) / 1

LCM(31,283,732) = 6421836 / 1

LCM(31,283,732) = 6421836


Lets's calculate GCF of 395,945,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6421836/1

Therefore the LCM of Fractions 31/395,283/945,732/711 is 6421836

Greatest Common Factor of 395,945,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,945,711 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 395,945,711 . The biggest common factor number is the GCF number.
So the greatest common factor 395,945,711 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 31/395, 283/945, 732/711

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 31/395, 283/945, 732/711?

Answer: LCM of Numerators as per given numbers 31/395, 283/945, 732/711 is

LCM of Numerators i.e. for 31,283,732 is 6421836

GCF of denominators i.e. for 395,945,711 is 1.

Thus, LCM of Fractions is 6421836.Finally, LCM of Fractions for 31/395, 283/945, 732/711 is 6421836.