Least Common Multiple of 403/36, 840/20, 443/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/36, 840/20, 443/99 quickly i.e. 149964360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/36, 840/20, 443/99 is 149964360.

LCM(403/36, 840/20, 443/99) = 149964360

LCM of 403/36, 840/20, 443/99

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 403/36,840/20,443/99

Given numbers are 403/36,840/20,443/99

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 403,840,443

Least Common Multiple of Numerators i.e. LCM of 403,840,443 is 149964360.

GCF of Denominators means GCF of 36,20,99 as per the given fractions.

GCF of 36,20,99 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,840,443

LCM of Fractions 403/36,840/20,443/99 is 149964360

Given numbers has no common factors except 1. So, there LCM is their product i.e 149964360

Least Common Multiple of 403,840,443 with GCF Formula

Least Common Multiple of 403,840,443 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 403,840,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,840,443) = 1

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

GCF(403,840,443) x common factors =1 x 1 = 1

LCM(403,840,443) = ( 403 × 840 × 443 ) / 1

LCM(403,840,443) = 149964360 / 1

LCM(403,840,443) = 149964360


Lets's calculate GCF of 36,20,99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149964360/1

Therefore the LCM of Fractions 403/36,840/20,443/99 is 149964360

Greatest Common Factor of 36,20,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,20,99 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 20

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

1,2,4,5,10,20

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 36,20,99 . The biggest common factor number is the GCF number.
So the greatest common factor 36,20,99 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 403/36, 840/20, 443/99

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 403/36, 840/20, 443/99?

Answer: LCM of Numerators as per given numbers 403/36, 840/20, 443/99 is

LCM of Numerators i.e. for 403,840,443 is 149964360

GCF of denominators i.e. for 36,20,99 is 1.

Thus, LCM of Fractions is 149964360.Finally, LCM of Fractions for 403/36, 840/20, 443/99 is 149964360.