Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/246, 438/136 quickly i.e. 71394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/246, 438/136 is 71394.
LCM(652/246, 438/136) = 71394
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/246,438/136
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 652,438
Least Common Multiple of Numerators i.e. LCM of 652,438 is 142788.
GCF of Denominators means GCF of 246,136 as per the given fractions.
GCF of 246,136 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,438
2 | 652, 438 |
326, 219 |
∴ So the LCM of the given numbers is 2 x 326 x 219 = 142788
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 652,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,438) x common factors =2 x 1 = 2
LCM(652,438) = ( 652 × 438 ) / 2
LCM(652,438) = 285576 / 2
LCM(652,438) = 142788
Lets's calculate GCF of 246,136
2 | 246, 136 |
123, 68 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142788/2
Therefore the LCM of Fractions 652/246,438/136 is 71394
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 246,136 . The biggest common factor number is the GCF number.
So the greatest common factor 246,136 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 652/246, 438/136?
Answer: LCM of Numerators as per given numbers 652/246, 438/136 is
LCM of Numerators i.e. for 652,438 is 142788
GCF of denominators i.e. for 246,136 is 2.
Thus, LCM of Fractions is 71394.Finally, LCM of Fractions for 652/246, 438/136 is 71394.