Least Common Multiple of 504/74, 806/32, 989/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/74, 806/32, 989/22 quickly i.e. 100438884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/74, 806/32, 989/22 is 100438884.

LCM(504/74, 806/32, 989/22) = 100438884

LCM of 504/74, 806/32, 989/22

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 504/74,806/32,989/22

Given numbers are 504/74,806/32,989/22

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 504,806,989

Least Common Multiple of Numerators i.e. LCM of 504,806,989 is 200877768.

GCF of Denominators means GCF of 74,32,22 as per the given fractions.

GCF of 74,32,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,806,989

LCM of Fractions 504/74,806/32,989/22 is 100438884

2 504, 806, 989
252, 403, 989

∴ So the LCM of the given numbers is 2 x 252 x 403 x 989 = 200877768

Least Common Multiple of 504,806,989 with GCF Formula

Least Common Multiple of 504,806,989 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 504,806,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,806,989) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(504,806,989) x common factors =1 x 2 = 2

LCM(504,806,989) = ( 504 × 806 × 989 ) / 2

LCM(504,806,989) = 401755536 / 2

LCM(504,806,989) = 200877768


Lets's calculate GCF of 74,32,22

2 74, 32, 22
37, 16, 11

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200877768/2

Therefore the LCM of Fractions 504/74,806/32,989/22 is 100438884

Greatest Common Factor of 74,32,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,32,22 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 74,32,22 . The biggest common factor number is the GCF number.
So the greatest common factor 74,32,22 is 2.


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 504/74, 806/32, 989/22

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 504/74, 806/32, 989/22?

Answer: LCM of Numerators as per given numbers 504/74, 806/32, 989/22 is

LCM of Numerators i.e. for 504,806,989 is 200877768

GCF of denominators i.e. for 74,32,22 is 2.

Thus, LCM of Fractions is 100438884.Finally, LCM of Fractions for 504/74, 806/32, 989/22 is 100438884.