Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6610/596, 4568/4318 quickly i.e. 7548620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6610/596, 4568/4318 is 7548620.
LCM(6610/596, 4568/4318) = 7548620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6610/596,4568/4318
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 6610,4568
Least Common Multiple of Numerators i.e. LCM of 6610,4568 is 15097240.
GCF of Denominators means GCF of 596,4318 as per the given fractions.
GCF of 596,4318 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6610,4568
2 | 6610, 4568 |
3305, 2284 |
∴ So the LCM of the given numbers is 2 x 3305 x 2284 = 15097240
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 6610,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6610,4568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6610,4568) x common factors =2 x 1 = 2
LCM(6610,4568) = ( 6610 × 4568 ) / 2
LCM(6610,4568) = 30194480 / 2
LCM(6610,4568) = 15097240
Lets's calculate GCF of 596,4318
2 | 596, 4318 |
298, 2159 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15097240/2
Therefore the LCM of Fractions 6610/596,4568/4318 is 7548620
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 4318
List of positive integer factors of 4318 that divides 4318 without a remainder.
1,2,17,34,127,254,2159,4318
Greatest Common Factor
We found the factors 596,4318 . The biggest common factor number is the GCF number.
So the greatest common factor 596,4318 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 6610/596, 4568/4318?
Answer: LCM of Numerators as per given numbers 6610/596, 4568/4318 is
LCM of Numerators i.e. for 6610,4568 is 15097240
GCF of denominators i.e. for 596,4318 is 2.
Thus, LCM of Fractions is 7548620.Finally, LCM of Fractions for 6610/596, 4568/4318 is 7548620.