Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 219/83, 712/408 quickly i.e. 155928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 219/83, 712/408 is 155928.
LCM(219/83, 712/408) = 155928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 219/83,712/408
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 219,712
Least Common Multiple of Numerators i.e. LCM of 219,712 is 155928.
GCF of Denominators means GCF of 83,408 as per the given fractions.
GCF of 83,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 219,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 155928
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 219,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,712) x common factors =1 x 1 = 1
LCM(219,712) = ( 219 × 712 ) / 1
LCM(219,712) = 155928 / 1
LCM(219,712) = 155928
Lets's calculate GCF of 83,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155928/1
Therefore the LCM of Fractions 219/83,712/408 is 155928
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 83,408 . The biggest common factor number is the GCF number.
So the greatest common factor 83,408 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 219/83, 712/408?
Answer: LCM of Numerators as per given numbers 219/83, 712/408 is
LCM of Numerators i.e. for 219,712 is 155928
GCF of denominators i.e. for 83,408 is 1.
Thus, LCM of Fractions is 155928.Finally, LCM of Fractions for 219/83, 712/408 is 155928.