Least Common Multiple of 31/146, 909/674, 451/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/146, 909/674, 451/793 quickly i.e. 12708729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/146, 909/674, 451/793 is 12708729.

LCM(31/146, 909/674, 451/793) = 12708729

LCM of 31/146, 909/674, 451/793

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 31/146,909/674,451/793

Given numbers are 31/146,909/674,451/793

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 31,909,451

Least Common Multiple of Numerators i.e. LCM of 31,909,451 is 12708729.

GCF of Denominators means GCF of 146,674,793 as per the given fractions.

GCF of 146,674,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,909,451

LCM of Fractions 31/146,909/674,451/793 is 12708729

Given numbers has no common factors except 1. So, there LCM is their product i.e 12708729

Least Common Multiple of 31,909,451 with GCF Formula

Least Common Multiple of 31,909,451 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 31,909,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,909,451) = 1

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

GCF(31,909,451) x common factors =1 x 1 = 1

LCM(31,909,451) = ( 31 × 909 × 451 ) / 1

LCM(31,909,451) = 12708729 / 1

LCM(31,909,451) = 12708729


Lets's calculate GCF of 146,674,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12708729/1

Therefore the LCM of Fractions 31/146,909/674,451/793 is 12708729

Greatest Common Factor of 146,674,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,674,793 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 146,674,793 . The biggest common factor number is the GCF number.
So the greatest common factor 146,674,793 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 31/146, 909/674, 451/793

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 31/146, 909/674, 451/793?

Answer: LCM of Numerators as per given numbers 31/146, 909/674, 451/793 is

LCM of Numerators i.e. for 31,909,451 is 12708729

GCF of denominators i.e. for 146,674,793 is 1.

Thus, LCM of Fractions is 12708729.Finally, LCM of Fractions for 31/146, 909/674, 451/793 is 12708729.