Least Common Multiple of 31/431, 59/549, 463/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/431, 59/549, 463/423 quickly i.e. 846827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/431, 59/549, 463/423 is 846827.

LCM(31/431, 59/549, 463/423) = 846827

LCM of 31/431, 59/549, 463/423

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 31/431,59/549,463/423

Given numbers are 31/431,59/549,463/423

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 31,59,463

Least Common Multiple of Numerators i.e. LCM of 31,59,463 is 846827.

GCF of Denominators means GCF of 431,549,423 as per the given fractions.

GCF of 431,549,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,59,463

LCM of Fractions 31/431,59/549,463/423 is 846827

Given numbers has no common factors except 1. So, there LCM is their product i.e 846827

Least Common Multiple of 31,59,463 with GCF Formula

Least Common Multiple of 31,59,463 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 31,59,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,59,463) = 1

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

GCF(31,59,463) x common factors =1 x 1 = 1

LCM(31,59,463) = ( 31 × 59 × 463 ) / 1

LCM(31,59,463) = 846827 / 1

LCM(31,59,463) = 846827


Lets's calculate GCF of 431,549,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846827/1

Therefore the LCM of Fractions 31/431,59/549,463/423 is 846827

Greatest Common Factor of 431,549,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,549,423 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 431,549,423 . The biggest common factor number is the GCF number.
So the greatest common factor 431,549,423 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 31/431, 59/549, 463/423

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 31/431, 59/549, 463/423?

Answer: LCM of Numerators as per given numbers 31/431, 59/549, 463/423 is

LCM of Numerators i.e. for 31,59,463 is 846827

GCF of denominators i.e. for 431,549,423 is 1.

Thus, LCM of Fractions is 846827.Finally, LCM of Fractions for 31/431, 59/549, 463/423 is 846827.