Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8968/875, 6367/5117 quickly i.e. 57099256/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8968/875, 6367/5117 is 57099256/7.
LCM(8968/875, 6367/5117) = 57099256/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8968/875,6367/5117
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 8968,6367
Least Common Multiple of Numerators i.e. LCM of 8968,6367 is 57099256.
GCF of Denominators means GCF of 875,5117 as per the given fractions.
GCF of 875,5117 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8968,6367
Given numbers has no common factors except 1. So, there LCM is their product i.e 57099256
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 8968,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8968,6367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8968,6367) x common factors =1 x 1 = 1
LCM(8968,6367) = ( 8968 × 6367 ) / 1
LCM(8968,6367) = 57099256 / 1
LCM(8968,6367) = 57099256
Lets's calculate GCF of 875,5117
7 | 875, 5117 |
125, 731 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57099256/7
Therefore the LCM of Fractions 8968/875,6367/5117 is 57099256/7
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1,7,17,43,119,301,731,5117
Greatest Common Factor
We found the factors 875,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 875,5117 is 7.
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 8968/875, 6367/5117?
Answer: LCM of Numerators as per given numbers 8968/875, 6367/5117 is
LCM of Numerators i.e. for 8968,6367 is 57099256
GCF of denominators i.e. for 875,5117 is 7.
Thus, LCM of Fractions is 57099256/7.Finally, LCM of Fractions for 8968/875, 6367/5117 is 57099256/7.