Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/620, 82/813, 936/519 quickly i.e. 3031704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/620, 82/813, 936/519 is 3031704.
LCM(79/620, 82/813, 936/519) = 3031704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/620,82/813,936/519
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 79,82,936
Least Common Multiple of Numerators i.e. LCM of 79,82,936 is 3031704.
GCF of Denominators means GCF of 620,813,519 as per the given fractions.
GCF of 620,813,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,82,936
2 | 79, 82, 936 |
79, 41, 468 |
∴ So the LCM of the given numbers is 2 x 79 x 41 x 468 = 3031704
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 79,82,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,82,936) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,82,936) x common factors =1 x 2 = 2
LCM(79,82,936) = ( 79 × 82 × 936 ) / 2
LCM(79,82,936) = 6063408 / 2
LCM(79,82,936) = 3031704
Lets's calculate GCF of 620,813,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3031704/1
Therefore the LCM of Fractions 79/620,82/813,936/519 is 3031704
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 620,813,519 . The biggest common factor number is the GCF number.
So the greatest common factor 620,813,519 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 79/620, 82/813, 936/519?
Answer: LCM of Numerators as per given numbers 79/620, 82/813, 936/519 is
LCM of Numerators i.e. for 79,82,936 is 3031704
GCF of denominators i.e. for 620,813,519 is 1.
Thus, LCM of Fractions is 3031704.Finally, LCM of Fractions for 79/620, 82/813, 936/519 is 3031704.