Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8650/704, 1594/863 quickly i.e. 6894050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8650/704, 1594/863 is 6894050.
LCM(8650/704, 1594/863) = 6894050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8650/704,1594/863
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 8650,1594
Least Common Multiple of Numerators i.e. LCM of 8650,1594 is 6894050.
GCF of Denominators means GCF of 704,863 as per the given fractions.
GCF of 704,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8650,1594
2 | 8650, 1594 |
4325, 797 |
∴ So the LCM of the given numbers is 2 x 4325 x 797 = 6894050
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 8650,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8650,1594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8650,1594) x common factors =2 x 1 = 2
LCM(8650,1594) = ( 8650 × 1594 ) / 2
LCM(8650,1594) = 13788100 / 2
LCM(8650,1594) = 6894050
Lets's calculate GCF of 704,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6894050/1
Therefore the LCM of Fractions 8650/704,1594/863 is 6894050
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 704,863 . The biggest common factor number is the GCF number.
So the greatest common factor 704,863 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 8650/704, 1594/863?
Answer: LCM of Numerators as per given numbers 8650/704, 1594/863 is
LCM of Numerators i.e. for 8650,1594 is 6894050
GCF of denominators i.e. for 704,863 is 1.
Thus, LCM of Fractions is 6894050.Finally, LCM of Fractions for 8650/704, 1594/863 is 6894050.