Least Common Multiple of 987/80, 517/9044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/80, 517/9044 quickly i.e. 10857/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/80, 517/9044 is 10857/4.

LCM(987/80, 517/9044) = 10857/4

LCM of 987/80, 517/9044

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 987/80,517/9044

Given numbers are 987/80,517/9044

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 987,517

Least Common Multiple of Numerators i.e. LCM of 987,517 is 10857.

GCF of Denominators means GCF of 80,9044 as per the given fractions.

GCF of 80,9044 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,517

LCM of Fractions 987/80,517/9044 is 10857/4

47 987, 517
21, 11

∴ So the LCM of the given numbers is 47 x 21 x 11 = 10857

Least Common Multiple of 987,517 with GCF Formula

Least Common Multiple of 987,517 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 987,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,517) = 47

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

GCF(987,517) x common factors =47 x 1 = 47

LCM(987,517) = ( 987 × 517 ) / 47

LCM(987,517) = 510279 / 47

LCM(987,517) = 10857


Lets's calculate GCF of 80,9044

2 80, 9044
2 40, 4522
20, 2261

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10857/4

Therefore the LCM of Fractions 987/80,517/9044 is 10857/4

Greatest Common Factor of 80,9044 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,9044 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044

Greatest Common Factor

We found the factors 80,9044 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9044 is 4.


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 987/80, 517/9044

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 987/80, 517/9044?

Answer: LCM of Numerators as per given numbers 987/80, 517/9044 is

LCM of Numerators i.e. for 987,517 is 10857

GCF of denominators i.e. for 80,9044 is 4.

Thus, LCM of Fractions is 10857/4.Finally, LCM of Fractions for 987/80, 517/9044 is 10857/4.