Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 789/678, 817/409 quickly i.e. 644613 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 789/678, 817/409 is 644613.
LCM(789/678, 817/409) = 644613
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 789/678,817/409
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 789,817
Least Common Multiple of Numerators i.e. LCM of 789,817 is 644613.
GCF of Denominators means GCF of 678,409 as per the given fractions.
GCF of 678,409 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 789,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 644613
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 789,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,817) x common factors =1 x 1 = 1
LCM(789,817) = ( 789 × 817 ) / 1
LCM(789,817) = 644613 / 1
LCM(789,817) = 644613
Lets's calculate GCF of 678,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644613/1
Therefore the LCM of Fractions 789/678,817/409 is 644613
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 678,409 . The biggest common factor number is the GCF number.
So the greatest common factor 678,409 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 789/678, 817/409?
Answer: LCM of Numerators as per given numbers 789/678, 817/409 is
LCM of Numerators i.e. for 789,817 is 644613
GCF of denominators i.e. for 678,409 is 1.
Thus, LCM of Fractions is 644613.Finally, LCM of Fractions for 789/678, 817/409 is 644613.