Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8847/427, 8817/642 quickly i.e. 26001333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8847/427, 8817/642 is 26001333.
LCM(8847/427, 8817/642) = 26001333
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8847/427,8817/642
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 8847,8817
Least Common Multiple of Numerators i.e. LCM of 8847,8817 is 26001333.
GCF of Denominators means GCF of 427,642 as per the given fractions.
GCF of 427,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8847,8817
3 | 8847, 8817 |
2949, 2939 |
∴ So the LCM of the given numbers is 3 x 2949 x 2939 = 26001333
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 8847,8817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8847,8817) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8847,8817) x common factors =3 x 1 = 3
LCM(8847,8817) = ( 8847 × 8817 ) / 3
LCM(8847,8817) = 78003999 / 3
LCM(8847,8817) = 26001333
Lets's calculate GCF of 427,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26001333/1
Therefore the LCM of Fractions 8847/427,8817/642 is 26001333
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 427,642 . The biggest common factor number is the GCF number.
So the greatest common factor 427,642 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 8847/427, 8817/642?
Answer: LCM of Numerators as per given numbers 8847/427, 8817/642 is
LCM of Numerators i.e. for 8847,8817 is 26001333
GCF of denominators i.e. for 427,642 is 1.
Thus, LCM of Fractions is 26001333.Finally, LCM of Fractions for 8847/427, 8817/642 is 26001333.