Least Common Multiple of 11/53, 80/31, 75/10, 72/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/53, 80/31, 75/10, 72/330 quickly i.e. 39600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/53, 80/31, 75/10, 72/330 is 39600.

LCM(11/53, 80/31, 75/10, 72/330) = 39600

LCM of 11/53, 80/31, 75/10, 72/330

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 11/53,80/31,75/10,72/330

Given numbers are 11/53,80/31,75/10,72/330

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 11,80,75,72

Least Common Multiple of Numerators i.e. LCM of 11,80,75,72 is 39600.

GCF of Denominators means GCF of 53,31,10,330 as per the given fractions.

GCF of 53,31,10,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,80,75,72

LCM of Fractions 11/53,80/31,75/10,72/330 is 39600

2 11, 80, 75, 72
2 11, 40, 75, 36
2 11, 20, 75, 18
3 11, 10, 75, 9
5 11, 10, 25, 3
11, 2, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 11 x 2 x 5 x 3 = 39600

Least Common Multiple of 11,80,75,72 with GCF Formula

Least Common Multiple of 11,80,75,72 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 11,80,75,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,80,75,72) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(11,80,75,72) x common factors =1 x 120 = 120

LCM(11,80,75,72) = ( 11 × 80 × 75 × 72 ) / 120

LCM(11,80,75,72) = 4752000 / 120

LCM(11,80,75,72) = 39600


Lets's calculate GCF of 53,31,10,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39600/1

Therefore the LCM of Fractions 11/53,80/31,75/10,72/330 is 39600

Greatest Common Factor of 53,31,10,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,31,10,330 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 53,31,10,330 . The biggest common factor number is the GCF number.
So the greatest common factor 53,31,10,330 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 11/53, 80/31, 75/10, 72/330

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 11/53, 80/31, 75/10, 72/330?

Answer: LCM of Numerators as per given numbers 11/53, 80/31, 75/10, 72/330 is

LCM of Numerators i.e. for 11,80,75,72 is 39600

GCF of denominators i.e. for 53,31,10,330 is 1.

Thus, LCM of Fractions is 39600.Finally, LCM of Fractions for 11/53, 80/31, 75/10, 72/330 is 39600.