Least Common Multiple of 1639/990, 8281/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1639/990, 8281/504 quickly i.e. 13572559/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1639/990, 8281/504 is 13572559/18.

LCM(1639/990, 8281/504) = 13572559/18

LCM of 1639/990, 8281/504

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 1639/990,8281/504

Given numbers are 1639/990,8281/504

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 1639,8281

Least Common Multiple of Numerators i.e. LCM of 1639,8281 is 13572559.

GCF of Denominators means GCF of 990,504 as per the given fractions.

GCF of 990,504 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1639,8281

LCM of Fractions 1639/990,8281/504 is 13572559/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 13572559

Least Common Multiple of 1639,8281 with GCF Formula

Least Common Multiple of 1639,8281 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 1639,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1639,8281) = 1

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

GCF(1639,8281) x common factors =1 x 1 = 1

LCM(1639,8281) = ( 1639 × 8281 ) / 1

LCM(1639,8281) = 13572559 / 1

LCM(1639,8281) = 13572559


Lets's calculate GCF of 990,504

2 990, 504
3 495, 252
3 165, 84
55, 28

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13572559/18

Therefore the LCM of Fractions 1639/990,8281/504 is 13572559/18

Greatest Common Factor of 990,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,504 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 990,504 . The biggest common factor number is the GCF number.
So the greatest common factor 990,504 is 18.


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 1639/990, 8281/504

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 1639/990, 8281/504?

Answer: LCM of Numerators as per given numbers 1639/990, 8281/504 is

LCM of Numerators i.e. for 1639,8281 is 13572559

GCF of denominators i.e. for 990,504 is 18.

Thus, LCM of Fractions is 13572559/18.Finally, LCM of Fractions for 1639/990, 8281/504 is 13572559/18.