Least Common Multiple of 89/41, 65/20, 43/33, 13/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/41, 65/20, 43/33, 13/426 quickly i.e. 248755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/41, 65/20, 43/33, 13/426 is 248755.

LCM(89/41, 65/20, 43/33, 13/426) = 248755

LCM of 89/41, 65/20, 43/33, 13/426

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 89/41,65/20,43/33,13/426

Given numbers are 89/41,65/20,43/33,13/426

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 89,65,43,13

Least Common Multiple of Numerators i.e. LCM of 89,65,43,13 is 248755.

GCF of Denominators means GCF of 41,20,33,426 as per the given fractions.

GCF of 41,20,33,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,65,43,13

LCM of Fractions 89/41,65/20,43/33,13/426 is 248755

13 89, 65, 43, 13
89, 5, 43, 1

∴ So the LCM of the given numbers is 13 x 89 x 5 x 43 x 1 = 248755

Least Common Multiple of 89,65,43,13 with GCF Formula

Least Common Multiple of 89,65,43,13 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 89,65,43,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,65,43,13) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(89,65,43,13) x common factors =1 x 13 = 13

LCM(89,65,43,13) = ( 89 × 65 × 43 × 13 ) / 13

LCM(89,65,43,13) = 3233815 / 13

LCM(89,65,43,13) = 248755


Lets's calculate GCF of 41,20,33,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248755/1

Therefore the LCM of Fractions 89/41,65/20,43/33,13/426 is 248755

Greatest Common Factor of 41,20,33,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,20,33,426 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 41,20,33,426 . The biggest common factor number is the GCF number.
So the greatest common factor 41,20,33,426 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 89/41, 65/20, 43/33, 13/426

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 89/41, 65/20, 43/33, 13/426?

Answer: LCM of Numerators as per given numbers 89/41, 65/20, 43/33, 13/426 is

LCM of Numerators i.e. for 89,65,43,13 is 248755

GCF of denominators i.e. for 41,20,33,426 is 1.

Thus, LCM of Fractions is 248755.Finally, LCM of Fractions for 89/41, 65/20, 43/33, 13/426 is 248755.