Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7099/628, 4594/5958 quickly i.e. 16306403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7099/628, 4594/5958 is 16306403.
LCM(7099/628, 4594/5958) = 16306403
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7099/628,4594/5958
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 7099,4594
Least Common Multiple of Numerators i.e. LCM of 7099,4594 is 32612806.
GCF of Denominators means GCF of 628,5958 as per the given fractions.
GCF of 628,5958 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7099,4594
Given numbers has no common factors except 1. So, there LCM is their product i.e 32612806
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 7099,4594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7099,4594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7099,4594) x common factors =1 x 1 = 1
LCM(7099,4594) = ( 7099 × 4594 ) / 1
LCM(7099,4594) = 32612806 / 1
LCM(7099,4594) = 32612806
Lets's calculate GCF of 628,5958
2 | 628, 5958 |
314, 2979 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32612806/2
Therefore the LCM of Fractions 7099/628,4594/5958 is 16306403
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 5958
List of positive integer factors of 5958 that divides 5958 without a remainder.
1,2,3,6,9,18,331,662,993,1986,2979,5958
Greatest Common Factor
We found the factors 628,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 628,5958 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 7099/628, 4594/5958?
Answer: LCM of Numerators as per given numbers 7099/628, 4594/5958 is
LCM of Numerators i.e. for 7099,4594 is 32612806
GCF of denominators i.e. for 628,5958 is 2.
Thus, LCM of Fractions is 16306403.Finally, LCM of Fractions for 7099/628, 4594/5958 is 16306403.