Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 984/829, 813/332, 498/855 quickly i.e. 22133112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 984/829, 813/332, 498/855 is 22133112.
LCM(984/829, 813/332, 498/855) = 22133112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 984/829,813/332,498/855
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 984,813,498
Least Common Multiple of Numerators i.e. LCM of 984,813,498 is 22133112.
GCF of Denominators means GCF of 829,332,855 as per the given fractions.
GCF of 829,332,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 984,813,498
2 | 984, 813, 498 |
3 | 492, 813, 249 |
164, 271, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 164 x 271 x 83 = 22133112
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 984,813,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,813,498) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(984,813,498) x common factors =3 x 6 = 18
LCM(984,813,498) = ( 984 × 813 × 498 ) / 18
LCM(984,813,498) = 398396016 / 18
LCM(984,813,498) = 22133112
Lets's calculate GCF of 829,332,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22133112/1
Therefore the LCM of Fractions 984/829,813/332,498/855 is 22133112
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 829,332,855 . The biggest common factor number is the GCF number.
So the greatest common factor 829,332,855 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 984/829, 813/332, 498/855?
Answer: LCM of Numerators as per given numbers 984/829, 813/332, 498/855 is
LCM of Numerators i.e. for 984,813,498 is 22133112
GCF of denominators i.e. for 829,332,855 is 1.
Thus, LCM of Fractions is 22133112.Finally, LCM of Fractions for 984/829, 813/332, 498/855 is 22133112.