Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 718/13, 122/8947 quickly i.e. 43798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 718/13, 122/8947 is 43798.
LCM(718/13, 122/8947) = 43798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 718/13,122/8947
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 718,122
Least Common Multiple of Numerators i.e. LCM of 718,122 is 43798.
GCF of Denominators means GCF of 13,8947 as per the given fractions.
GCF of 13,8947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 718,122
2 | 718, 122 |
359, 61 |
∴ So the LCM of the given numbers is 2 x 359 x 61 = 43798
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 718,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,122) x common factors =2 x 1 = 2
LCM(718,122) = ( 718 × 122 ) / 2
LCM(718,122) = 87596 / 2
LCM(718,122) = 43798
Lets's calculate GCF of 13,8947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43798/1
Therefore the LCM of Fractions 718/13,122/8947 is 43798
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 8947
List of positive integer factors of 8947 that divides 8947 without a remainder.
1,23,389,8947
Greatest Common Factor
We found the factors 13,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 13,8947 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 718/13, 122/8947?
Answer: LCM of Numerators as per given numbers 718/13, 122/8947 is
LCM of Numerators i.e. for 718,122 is 43798
GCF of denominators i.e. for 13,8947 is 1.
Thus, LCM of Fractions is 43798.Finally, LCM of Fractions for 718/13, 122/8947 is 43798.