Least Common Multiple of 31/35, 13/665, 190/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/35, 13/665, 190/183 quickly i.e. 76570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/35, 13/665, 190/183 is 76570.

LCM(31/35, 13/665, 190/183) = 76570

LCM of 31/35, 13/665, 190/183

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 31/35,13/665,190/183

Given numbers are 31/35,13/665,190/183

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 31,13,190

Least Common Multiple of Numerators i.e. LCM of 31,13,190 is 76570.

GCF of Denominators means GCF of 35,665,183 as per the given fractions.

GCF of 35,665,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,13,190

LCM of Fractions 31/35,13/665,190/183 is 76570

Given numbers has no common factors except 1. So, there LCM is their product i.e 76570

Least Common Multiple of 31,13,190 with GCF Formula

Least Common Multiple of 31,13,190 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 31,13,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,13,190) = 1

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

GCF(31,13,190) x common factors =1 x 1 = 1

LCM(31,13,190) = ( 31 × 13 × 190 ) / 1

LCM(31,13,190) = 76570 / 1

LCM(31,13,190) = 76570


Lets's calculate GCF of 35,665,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76570/1

Therefore the LCM of Fractions 31/35,13/665,190/183 is 76570

Greatest Common Factor of 35,665,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,665,183 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 35,665,183 . The biggest common factor number is the GCF number.
So the greatest common factor 35,665,183 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 31/35, 13/665, 190/183

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 31/35, 13/665, 190/183?

Answer: LCM of Numerators as per given numbers 31/35, 13/665, 190/183 is

LCM of Numerators i.e. for 31,13,190 is 76570

GCF of denominators i.e. for 35,665,183 is 1.

Thus, LCM of Fractions is 76570.Finally, LCM of Fractions for 31/35, 13/665, 190/183 is 76570.