Least Common Multiple of 133/424, 307/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 133/424, 307/146 quickly i.e. 40831/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/424, 307/146 is 40831/2.

LCM(133/424, 307/146) = 40831/2

LCM of 133/424, 307/146

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 133/424,307/146

Given numbers are 133/424,307/146

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 133,307

Least Common Multiple of Numerators i.e. LCM of 133,307 is 40831.

GCF of Denominators means GCF of 424,146 as per the given fractions.

GCF of 424,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,307

LCM of Fractions 133/424,307/146 is 40831/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 40831

Least Common Multiple of 133,307 with GCF Formula

Least Common Multiple of 133,307 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 133,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,307) = 1

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

GCF(133,307) x common factors =1 x 1 = 1

LCM(133,307) = ( 133 × 307 ) / 1

LCM(133,307) = 40831 / 1

LCM(133,307) = 40831


Lets's calculate GCF of 424,146

2 424, 146
212, 73

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40831/2

Therefore the LCM of Fractions 133/424,307/146 is 40831/2

Greatest Common Factor of 424,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,146 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 146

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

1,2,73,146

Greatest Common Factor

We found the factors 424,146 . The biggest common factor number is the GCF number.
So the greatest common factor 424,146 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 133/424, 307/146

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 133/424, 307/146?

Answer: LCM of Numerators as per given numbers 133/424, 307/146 is

LCM of Numerators i.e. for 133,307 is 40831

GCF of denominators i.e. for 424,146 is 2.

Thus, LCM of Fractions is 40831/2.Finally, LCM of Fractions for 133/424, 307/146 is 40831/2.