Least Common Multiple of 108/89, 185/20, 445/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/89, 185/20, 445/72 quickly i.e. 1778220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/89, 185/20, 445/72 is 1778220.

LCM(108/89, 185/20, 445/72) = 1778220

LCM of 108/89, 185/20, 445/72

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 108/89,185/20,445/72

Given numbers are 108/89,185/20,445/72

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 108,185,445

Least Common Multiple of Numerators i.e. LCM of 108,185,445 is 1778220.

GCF of Denominators means GCF of 89,20,72 as per the given fractions.

GCF of 89,20,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,185,445

LCM of Fractions 108/89,185/20,445/72 is 1778220

5 108, 185, 445
108, 37, 89

∴ So the LCM of the given numbers is 5 x 108 x 37 x 89 = 1778220

Least Common Multiple of 108,185,445 with GCF Formula

Least Common Multiple of 108,185,445 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 108,185,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,185,445) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(108,185,445) x common factors =1 x 5 = 5

LCM(108,185,445) = ( 108 × 185 × 445 ) / 5

LCM(108,185,445) = 8891100 / 5

LCM(108,185,445) = 1778220


Lets's calculate GCF of 89,20,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1778220/1

Therefore the LCM of Fractions 108/89,185/20,445/72 is 1778220

Greatest Common Factor of 89,20,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,20,72 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 20

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

1,2,4,5,10,20

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 89,20,72 . The biggest common factor number is the GCF number.
So the greatest common factor 89,20,72 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 108/89, 185/20, 445/72

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 108/89, 185/20, 445/72?

Answer: LCM of Numerators as per given numbers 108/89, 185/20, 445/72 is

LCM of Numerators i.e. for 108,185,445 is 1778220

GCF of denominators i.e. for 89,20,72 is 1.

Thus, LCM of Fractions is 1778220.Finally, LCM of Fractions for 108/89, 185/20, 445/72 is 1778220.