Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/494, 68/102 quickly i.e. 442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/494, 68/102 is 442.
LCM(13/494, 68/102) = 442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/494,68/102
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 13,68
Least Common Multiple of Numerators i.e. LCM of 13,68 is 884.
GCF of Denominators means GCF of 494,102 as per the given fractions.
GCF of 494,102 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,68
Given numbers has no common factors except 1. So, there LCM is their product i.e 884
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 13,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,68) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,68) x common factors =1 x 1 = 1
LCM(13,68) = ( 13 × 68 ) / 1
LCM(13,68) = 884 / 1
LCM(13,68) = 884
Lets's calculate GCF of 494,102
2 | 494, 102 |
247, 51 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 884/2
Therefore the LCM of Fractions 13/494,68/102 is 442
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 494,102 . The biggest common factor number is the GCF number.
So the greatest common factor 494,102 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 13/494, 68/102?
Answer: LCM of Numerators as per given numbers 13/494, 68/102 is
LCM of Numerators i.e. for 13,68 is 884
GCF of denominators i.e. for 494,102 is 2.
Thus, LCM of Fractions is 442.Finally, LCM of Fractions for 13/494, 68/102 is 442.