Least Common Multiple of 31/105, 512/753, 133/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/105, 512/753, 133/904 quickly i.e. 2110976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/105, 512/753, 133/904 is 2110976.

LCM(31/105, 512/753, 133/904) = 2110976

LCM of 31/105, 512/753, 133/904

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 31/105,512/753,133/904

Given numbers are 31/105,512/753,133/904

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 31,512,133

Least Common Multiple of Numerators i.e. LCM of 31,512,133 is 2110976.

GCF of Denominators means GCF of 105,753,904 as per the given fractions.

GCF of 105,753,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,512,133

LCM of Fractions 31/105,512/753,133/904 is 2110976

Given numbers has no common factors except 1. So, there LCM is their product i.e 2110976

Least Common Multiple of 31,512,133 with GCF Formula

Least Common Multiple of 31,512,133 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 31,512,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,512,133) = 1

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

GCF(31,512,133) x common factors =1 x 1 = 1

LCM(31,512,133) = ( 31 × 512 × 133 ) / 1

LCM(31,512,133) = 2110976 / 1

LCM(31,512,133) = 2110976


Lets's calculate GCF of 105,753,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2110976/1

Therefore the LCM of Fractions 31/105,512/753,133/904 is 2110976

Greatest Common Factor of 105,753,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,753,904 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 105,753,904 . The biggest common factor number is the GCF number.
So the greatest common factor 105,753,904 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 31/105, 512/753, 133/904

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 31/105, 512/753, 133/904?

Answer: LCM of Numerators as per given numbers 31/105, 512/753, 133/904 is

LCM of Numerators i.e. for 31,512,133 is 2110976

GCF of denominators i.e. for 105,753,904 is 1.

Thus, LCM of Fractions is 2110976.Finally, LCM of Fractions for 31/105, 512/753, 133/904 is 2110976.