Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 789/76, 799/2794 quickly i.e. 630411/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 789/76, 799/2794 is 630411/2.
LCM(789/76, 799/2794) = 630411/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 789/76,799/2794
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 789,799
Least Common Multiple of Numerators i.e. LCM of 789,799 is 630411.
GCF of Denominators means GCF of 76,2794 as per the given fractions.
GCF of 76,2794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 789,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 630411
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 789,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,799) x common factors =1 x 1 = 1
LCM(789,799) = ( 789 × 799 ) / 1
LCM(789,799) = 630411 / 1
LCM(789,799) = 630411
Lets's calculate GCF of 76,2794
2 | 76, 2794 |
38, 1397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630411/2
Therefore the LCM of Fractions 789/76,799/2794 is 630411/2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 2794
List of positive integer factors of 2794 that divides 2794 without a remainder.
1,2,11,22,127,254,1397,2794
Greatest Common Factor
We found the factors 76,2794 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2794 is 2.
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 789/76, 799/2794?
Answer: LCM of Numerators as per given numbers 789/76, 799/2794 is
LCM of Numerators i.e. for 789,799 is 630411
GCF of denominators i.e. for 76,2794 is 2.
Thus, LCM of Fractions is 630411/2.Finally, LCM of Fractions for 789/76, 799/2794 is 630411/2.