Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4913/807, 9429/3090 quickly i.e. 15441559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4913/807, 9429/3090 is 15441559.
LCM(4913/807, 9429/3090) = 15441559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4913/807,9429/3090
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 4913,9429
Least Common Multiple of Numerators i.e. LCM of 4913,9429 is 46324677.
GCF of Denominators means GCF of 807,3090 as per the given fractions.
GCF of 807,3090 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4913,9429
Given numbers has no common factors except 1. So, there LCM is their product i.e 46324677
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 4913,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4913,9429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4913,9429) x common factors =1 x 1 = 1
LCM(4913,9429) = ( 4913 × 9429 ) / 1
LCM(4913,9429) = 46324677 / 1
LCM(4913,9429) = 46324677
Lets's calculate GCF of 807,3090
3 | 807, 3090 |
269, 1030 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46324677/3
Therefore the LCM of Fractions 4913/807,9429/3090 is 15441559
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 3090
List of positive integer factors of 3090 that divides 3090 without a remainder.
1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Greatest Common Factor
We found the factors 807,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 807,3090 is 3.
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 4913/807, 9429/3090?
Answer: LCM of Numerators as per given numbers 4913/807, 9429/3090 is
LCM of Numerators i.e. for 4913,9429 is 46324677
GCF of denominators i.e. for 807,3090 is 3.
Thus, LCM of Fractions is 15441559.Finally, LCM of Fractions for 4913/807, 9429/3090 is 15441559.