Least Common Multiple of 31/855, 6012/4309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/855, 6012/4309 quickly i.e. 186372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/855, 6012/4309 is 186372.

LCM(31/855, 6012/4309) = 186372

LCM of 31/855, 6012/4309

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 31/855,6012/4309

Given numbers are 31/855,6012/4309

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 31,6012

Least Common Multiple of Numerators i.e. LCM of 31,6012 is 186372.

GCF of Denominators means GCF of 855,4309 as per the given fractions.

GCF of 855,4309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,6012

LCM of Fractions 31/855,6012/4309 is 186372

Given numbers has no common factors except 1. So, there LCM is their product i.e 186372

Least Common Multiple of 31,6012 with GCF Formula

Least Common Multiple of 31,6012 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 31,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,6012) = 1

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

GCF(31,6012) x common factors =1 x 1 = 1

LCM(31,6012) = ( 31 × 6012 ) / 1

LCM(31,6012) = 186372 / 1

LCM(31,6012) = 186372


Lets's calculate GCF of 855,4309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186372/1

Therefore the LCM of Fractions 31/855,6012/4309 is 186372

Greatest Common Factor of 855,4309 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,4309 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 4309

List of positive integer factors of 4309 that divides 4309 without a remainder.

1,31,139,4309

Greatest Common Factor

We found the factors 855,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 855,4309 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 31/855, 6012/4309

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 31/855, 6012/4309?

Answer: LCM of Numerators as per given numbers 31/855, 6012/4309 is

LCM of Numerators i.e. for 31,6012 is 186372

GCF of denominators i.e. for 855,4309 is 1.

Thus, LCM of Fractions is 186372.Finally, LCM of Fractions for 31/855, 6012/4309 is 186372.