Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4808/68, 6060/218 quickly i.e. 3642060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4808/68, 6060/218 is 3642060.
LCM(4808/68, 6060/218) = 3642060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4808/68,6060/218
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 4808,6060
Least Common Multiple of Numerators i.e. LCM of 4808,6060 is 7284120.
GCF of Denominators means GCF of 68,218 as per the given fractions.
GCF of 68,218 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4808,6060
2 | 4808, 6060 |
2 | 2404, 3030 |
1202, 1515 |
∴ So the LCM of the given numbers is 2 x 2 x 1202 x 1515 = 7284120
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 4808,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4808,6060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4808,6060) x common factors =4 x 1 = 4
LCM(4808,6060) = ( 4808 × 6060 ) / 4
LCM(4808,6060) = 29136480 / 4
LCM(4808,6060) = 7284120
Lets's calculate GCF of 68,218
2 | 68, 218 |
34, 109 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7284120/2
Therefore the LCM of Fractions 4808/68,6060/218 is 3642060
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 68,218 . The biggest common factor number is the GCF number.
So the greatest common factor 68,218 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 4808/68, 6060/218?
Answer: LCM of Numerators as per given numbers 4808/68, 6060/218 is
LCM of Numerators i.e. for 4808,6060 is 7284120
GCF of denominators i.e. for 68,218 is 2.
Thus, LCM of Fractions is 3642060.Finally, LCM of Fractions for 4808/68, 6060/218 is 3642060.