Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7586/139, 8598/8898 quickly i.e. 32612214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7586/139, 8598/8898 is 32612214.
LCM(7586/139, 8598/8898) = 32612214
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7586/139,8598/8898
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 7586,8598
Least Common Multiple of Numerators i.e. LCM of 7586,8598 is 32612214.
GCF of Denominators means GCF of 139,8898 as per the given fractions.
GCF of 139,8898 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7586,8598
2 | 7586, 8598 |
3793, 4299 |
∴ So the LCM of the given numbers is 2 x 3793 x 4299 = 32612214
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 7586,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7586,8598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7586,8598) x common factors =2 x 1 = 2
LCM(7586,8598) = ( 7586 × 8598 ) / 2
LCM(7586,8598) = 65224428 / 2
LCM(7586,8598) = 32612214
Lets's calculate GCF of 139,8898
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32612214/1
Therefore the LCM of Fractions 7586/139,8598/8898 is 32612214
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 8898
List of positive integer factors of 8898 that divides 8898 without a remainder.
1,2,3,6,1483,2966,4449,8898
Greatest Common Factor
We found the factors 139,8898 . The biggest common factor number is the GCF number.
So the greatest common factor 139,8898 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 7586/139, 8598/8898?
Answer: LCM of Numerators as per given numbers 7586/139, 8598/8898 is
LCM of Numerators i.e. for 7586,8598 is 32612214
GCF of denominators i.e. for 139,8898 is 1.
Thus, LCM of Fractions is 32612214.Finally, LCM of Fractions for 7586/139, 8598/8898 is 32612214.