Least Common Multiple of 89/53, 62/11, 72/80, 72/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/53, 62/11, 72/80, 72/441 quickly i.e. 198648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/53, 62/11, 72/80, 72/441 is 198648.

LCM(89/53, 62/11, 72/80, 72/441) = 198648

LCM of 89/53, 62/11, 72/80, 72/441

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 89/53,62/11,72/80,72/441

Given numbers are 89/53,62/11,72/80,72/441

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 89,62,72,72

Least Common Multiple of Numerators i.e. LCM of 89,62,72,72 is 198648.

GCF of Denominators means GCF of 53,11,80,441 as per the given fractions.

GCF of 53,11,80,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,62,72,72

LCM of Fractions 89/53,62/11,72/80,72/441 is 198648

2 89, 62, 72, 72
2 89, 31, 36, 36
2 89, 31, 18, 18
3 89, 31, 9, 9
3 89, 31, 3, 3
89, 31, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 89 x 31 x 1 x 1 = 198648

Least Common Multiple of 89,62,72,72 with GCF Formula

Least Common Multiple of 89,62,72,72 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 89,62,72,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,62,72,72) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(89,62,72,72) x common factors =1 x 144 = 144

LCM(89,62,72,72) = ( 89 × 62 × 72 × 72 ) / 144

LCM(89,62,72,72) = 28605312 / 144

LCM(89,62,72,72) = 198648


Lets's calculate GCF of 53,11,80,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198648/1

Therefore the LCM of Fractions 89/53,62/11,72/80,72/441 is 198648

Greatest Common Factor of 53,11,80,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,11,80,441 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 53,11,80,441 . The biggest common factor number is the GCF number.
So the greatest common factor 53,11,80,441 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 89/53, 62/11, 72/80, 72/441

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 89/53, 62/11, 72/80, 72/441?

Answer: LCM of Numerators as per given numbers 89/53, 62/11, 72/80, 72/441 is

LCM of Numerators i.e. for 89,62,72,72 is 198648

GCF of denominators i.e. for 53,11,80,441 is 1.

Thus, LCM of Fractions is 198648.Finally, LCM of Fractions for 89/53, 62/11, 72/80, 72/441 is 198648.