Least Common Multiple of 405/32, 133/9126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/32, 133/9126 quickly i.e. 53865/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/32, 133/9126 is 53865/2.

LCM(405/32, 133/9126) = 53865/2

LCM of 405/32, 133/9126

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 405/32,133/9126

Given numbers are 405/32,133/9126

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 405,133

Least Common Multiple of Numerators i.e. LCM of 405,133 is 53865.

GCF of Denominators means GCF of 32,9126 as per the given fractions.

GCF of 32,9126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,133

LCM of Fractions 405/32,133/9126 is 53865/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 53865

Least Common Multiple of 405,133 with GCF Formula

Least Common Multiple of 405,133 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 405,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,133) = 1

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

GCF(405,133) x common factors =1 x 1 = 1

LCM(405,133) = ( 405 × 133 ) / 1

LCM(405,133) = 53865 / 1

LCM(405,133) = 53865


Lets's calculate GCF of 32,9126

2 32, 9126
16, 4563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53865/2

Therefore the LCM of Fractions 405/32,133/9126 is 53865/2

Greatest Common Factor of 32,9126 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9126 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Greatest Common Factor

We found the factors 32,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9126 is 2.


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 405/32, 133/9126

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 405/32, 133/9126?

Answer: LCM of Numerators as per given numbers 405/32, 133/9126 is

LCM of Numerators i.e. for 405,133 is 53865

GCF of denominators i.e. for 32,9126 is 2.

Thus, LCM of Fractions is 53865/2.Finally, LCM of Fractions for 405/32, 133/9126 is 53865/2.