Least Common Multiple of 583/40, 776/75, 403/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/40, 776/75, 403/996 quickly i.e. 182320424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/40, 776/75, 403/996 is 182320424.

LCM(583/40, 776/75, 403/996) = 182320424

LCM of 583/40, 776/75, 403/996

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 583/40,776/75,403/996

Given numbers are 583/40,776/75,403/996

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 583,776,403

Least Common Multiple of Numerators i.e. LCM of 583,776,403 is 182320424.

GCF of Denominators means GCF of 40,75,996 as per the given fractions.

GCF of 40,75,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,776,403

LCM of Fractions 583/40,776/75,403/996 is 182320424

Given numbers has no common factors except 1. So, there LCM is their product i.e 182320424

Least Common Multiple of 583,776,403 with GCF Formula

Least Common Multiple of 583,776,403 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 583,776,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,776,403) = 1

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

GCF(583,776,403) x common factors =1 x 1 = 1

LCM(583,776,403) = ( 583 × 776 × 403 ) / 1

LCM(583,776,403) = 182320424 / 1

LCM(583,776,403) = 182320424


Lets's calculate GCF of 40,75,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182320424/1

Therefore the LCM of Fractions 583/40,776/75,403/996 is 182320424

Greatest Common Factor of 40,75,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,75,996 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 40,75,996 . The biggest common factor number is the GCF number.
So the greatest common factor 40,75,996 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 583/40, 776/75, 403/996

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 583/40, 776/75, 403/996?

Answer: LCM of Numerators as per given numbers 583/40, 776/75, 403/996 is

LCM of Numerators i.e. for 583,776,403 is 182320424

GCF of denominators i.e. for 40,75,996 is 1.

Thus, LCM of Fractions is 182320424.Finally, LCM of Fractions for 583/40, 776/75, 403/996 is 182320424.