Least Common Multiple of 11/13, 41/73, 89/51, 37/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/13, 41/73, 89/51, 37/500 quickly i.e. 1485143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/13, 41/73, 89/51, 37/500 is 1485143.

LCM(11/13, 41/73, 89/51, 37/500) = 1485143

LCM of 11/13, 41/73, 89/51, 37/500

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 11/13,41/73,89/51,37/500

Given numbers are 11/13,41/73,89/51,37/500

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 11,41,89,37

Least Common Multiple of Numerators i.e. LCM of 11,41,89,37 is 1485143.

GCF of Denominators means GCF of 13,73,51,500 as per the given fractions.

GCF of 13,73,51,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,41,89,37

LCM of Fractions 11/13,41/73,89/51,37/500 is 1485143

Given numbers has no common factors except 1. So, there LCM is their product i.e 1485143

Least Common Multiple of 11,41,89,37 with GCF Formula

Least Common Multiple of 11,41,89,37 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 11,41,89,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,41,89,37) = 1

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

GCF(11,41,89,37) x common factors =1 x 1 = 1

LCM(11,41,89,37) = ( 11 × 41 × 89 × 37 ) / 1

LCM(11,41,89,37) = 1485143 / 1

LCM(11,41,89,37) = 1485143


Lets's calculate GCF of 13,73,51,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485143/1

Therefore the LCM of Fractions 11/13,41/73,89/51,37/500 is 1485143

Greatest Common Factor of 13,73,51,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,73,51,500 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 13,73,51,500 . The biggest common factor number is the GCF number.
So the greatest common factor 13,73,51,500 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 11/13, 41/73, 89/51, 37/500

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 11/13, 41/73, 89/51, 37/500?

Answer: LCM of Numerators as per given numbers 11/13, 41/73, 89/51, 37/500 is

LCM of Numerators i.e. for 11,41,89,37 is 1485143

GCF of denominators i.e. for 13,73,51,500 is 1.

Thus, LCM of Fractions is 1485143.Finally, LCM of Fractions for 11/13, 41/73, 89/51, 37/500 is 1485143.