Least Common Multiple of 518/900, 8829/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/900, 8829/982 quickly i.e. 2286711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/900, 8829/982 is 2286711.

LCM(518/900, 8829/982) = 2286711

LCM of 518/900, 8829/982

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 518/900,8829/982

Given numbers are 518/900,8829/982

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 518,8829

Least Common Multiple of Numerators i.e. LCM of 518,8829 is 4573422.

GCF of Denominators means GCF of 900,982 as per the given fractions.

GCF of 900,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,8829

LCM of Fractions 518/900,8829/982 is 2286711

Given numbers has no common factors except 1. So, there LCM is their product i.e 4573422

Least Common Multiple of 518,8829 with GCF Formula

Least Common Multiple of 518,8829 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 518,8829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,8829) = 1

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

GCF(518,8829) x common factors =1 x 1 = 1

LCM(518,8829) = ( 518 × 8829 ) / 1

LCM(518,8829) = 4573422 / 1

LCM(518,8829) = 4573422


Lets's calculate GCF of 900,982

2 900, 982
450, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4573422/2

Therefore the LCM of Fractions 518/900,8829/982 is 2286711

Greatest Common Factor of 900,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,982 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 900,982 . The biggest common factor number is the GCF number.
So the greatest common factor 900,982 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 518/900, 8829/982

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 518/900, 8829/982?

Answer: LCM of Numerators as per given numbers 518/900, 8829/982 is

LCM of Numerators i.e. for 518,8829 is 4573422

GCF of denominators i.e. for 900,982 is 2.

Thus, LCM of Fractions is 2286711.Finally, LCM of Fractions for 518/900, 8829/982 is 2286711.