Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/458, 638/876, 733/815 quickly i.e. 36944666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/458, 638/876, 733/815 is 36944666.
LCM(79/458, 638/876, 733/815) = 36944666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/458,638/876,733/815
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 79,638,733
Least Common Multiple of Numerators i.e. LCM of 79,638,733 is 36944666.
GCF of Denominators means GCF of 458,876,815 as per the given fractions.
GCF of 458,876,815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,638,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 36944666
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 79,638,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,638,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,638,733) x common factors =1 x 1 = 1
LCM(79,638,733) = ( 79 × 638 × 733 ) / 1
LCM(79,638,733) = 36944666 / 1
LCM(79,638,733) = 36944666
Lets's calculate GCF of 458,876,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36944666/1
Therefore the LCM of Fractions 79/458,638/876,733/815 is 36944666
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 458,876,815 . The biggest common factor number is the GCF number.
So the greatest common factor 458,876,815 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 79/458, 638/876, 733/815?
Answer: LCM of Numerators as per given numbers 79/458, 638/876, 733/815 is
LCM of Numerators i.e. for 79,638,733 is 36944666
GCF of denominators i.e. for 458,876,815 is 1.
Thus, LCM of Fractions is 36944666.Finally, LCM of Fractions for 79/458, 638/876, 733/815 is 36944666.