Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/69, 859/8246 quickly i.e. 724996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/69, 859/8246 is 724996.
LCM(844/69, 859/8246) = 724996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/69,859/8246
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 844,859
Least Common Multiple of Numerators i.e. LCM of 844,859 is 724996.
GCF of Denominators means GCF of 69,8246 as per the given fractions.
GCF of 69,8246 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 724996
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 844,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,859) x common factors =1 x 1 = 1
LCM(844,859) = ( 844 × 859 ) / 1
LCM(844,859) = 724996 / 1
LCM(844,859) = 724996
Lets's calculate GCF of 69,8246
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724996/1
Therefore the LCM of Fractions 844/69,859/8246 is 724996
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 8246
List of positive integer factors of 8246 that divides 8246 without a remainder.
1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Greatest Common Factor
We found the factors 69,8246 . The biggest common factor number is the GCF number.
So the greatest common factor 69,8246 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 844/69, 859/8246?
Answer: LCM of Numerators as per given numbers 844/69, 859/8246 is
LCM of Numerators i.e. for 844,859 is 724996
GCF of denominators i.e. for 69,8246 is 1.
Thus, LCM of Fractions is 724996.Finally, LCM of Fractions for 844/69, 859/8246 is 724996.