Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6158/24, 8656/197 quickly i.e. 26651824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6158/24, 8656/197 is 26651824.
LCM(6158/24, 8656/197) = 26651824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6158/24,8656/197
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 6158,8656
Least Common Multiple of Numerators i.e. LCM of 6158,8656 is 26651824.
GCF of Denominators means GCF of 24,197 as per the given fractions.
GCF of 24,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6158,8656
2 | 6158, 8656 |
3079, 4328 |
∴ So the LCM of the given numbers is 2 x 3079 x 4328 = 26651824
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 6158,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6158,8656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6158,8656) x common factors =2 x 1 = 2
LCM(6158,8656) = ( 6158 × 8656 ) / 2
LCM(6158,8656) = 53303648 / 2
LCM(6158,8656) = 26651824
Lets's calculate GCF of 24,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26651824/1
Therefore the LCM of Fractions 6158/24,8656/197 is 26651824
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 24,197 . The biggest common factor number is the GCF number.
So the greatest common factor 24,197 is 1.
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 6158/24, 8656/197?
Answer: LCM of Numerators as per given numbers 6158/24, 8656/197 is
LCM of Numerators i.e. for 6158,8656 is 26651824
GCF of denominators i.e. for 24,197 is 1.
Thus, LCM of Fractions is 26651824.Finally, LCM of Fractions for 6158/24, 8656/197 is 26651824.