Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2399/136, 8570/9352 quickly i.e. 20559430/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2399/136, 8570/9352 is 20559430/8.
LCM(2399/136, 8570/9352) = 20559430/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2399/136,8570/9352
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 2399,8570
Least Common Multiple of Numerators i.e. LCM of 2399,8570 is 20559430.
GCF of Denominators means GCF of 136,9352 as per the given fractions.
GCF of 136,9352 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2399,8570
Given numbers has no common factors except 1. So, there LCM is their product i.e 20559430
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 2399,8570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2399,8570) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2399,8570) x common factors =1 x 1 = 1
LCM(2399,8570) = ( 2399 × 8570 ) / 1
LCM(2399,8570) = 20559430 / 1
LCM(2399,8570) = 20559430
Lets's calculate GCF of 136,9352
2 | 136, 9352 |
2 | 68, 4676 |
2 | 34, 2338 |
17, 1169 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20559430/8
Therefore the LCM of Fractions 2399/136,8570/9352 is 20559430/8
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 9352
List of positive integer factors of 9352 that divides 9352 without a remainder.
1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Greatest Common Factor
We found the factors 136,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 136,9352 is 8.
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 2399/136, 8570/9352?
Answer: LCM of Numerators as per given numbers 2399/136, 8570/9352 is
LCM of Numerators i.e. for 2399,8570 is 20559430
GCF of denominators i.e. for 136,9352 is 8.
Thus, LCM of Fractions is 20559430/8.Finally, LCM of Fractions for 2399/136, 8570/9352 is 20559430/8.