Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7618/108, 3131/718 quickly i.e. 11925979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7618/108, 3131/718 is 11925979.
LCM(7618/108, 3131/718) = 11925979
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7618/108,3131/718
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 7618,3131
Least Common Multiple of Numerators i.e. LCM of 7618,3131 is 23851958.
GCF of Denominators means GCF of 108,718 as per the given fractions.
GCF of 108,718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7618,3131
Given numbers has no common factors except 1. So, there LCM is their product i.e 23851958
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 7618,3131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7618,3131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7618,3131) x common factors =1 x 1 = 1
LCM(7618,3131) = ( 7618 × 3131 ) / 1
LCM(7618,3131) = 23851958 / 1
LCM(7618,3131) = 23851958
Lets's calculate GCF of 108,718
2 | 108, 718 |
54, 359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23851958/2
Therefore the LCM of Fractions 7618/108,3131/718 is 11925979
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 108,718 . The biggest common factor number is the GCF number.
So the greatest common factor 108,718 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 7618/108, 3131/718?
Answer: LCM of Numerators as per given numbers 7618/108, 3131/718 is
LCM of Numerators i.e. for 7618,3131 is 23851958
GCF of denominators i.e. for 108,718 is 2.
Thus, LCM of Fractions is 11925979.Finally, LCM of Fractions for 7618/108, 3131/718 is 11925979.