Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/864, 4200/1373 quickly i.e. 348600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/864, 4200/1373 is 348600.
LCM(83/864, 4200/1373) = 348600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/864,4200/1373
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 83,4200
Least Common Multiple of Numerators i.e. LCM of 83,4200 is 348600.
GCF of Denominators means GCF of 864,1373 as per the given fractions.
GCF of 864,1373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,4200
Given numbers has no common factors except 1. So, there LCM is their product i.e 348600
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 83,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,4200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,4200) x common factors =1 x 1 = 1
LCM(83,4200) = ( 83 × 4200 ) / 1
LCM(83,4200) = 348600 / 1
LCM(83,4200) = 348600
Lets's calculate GCF of 864,1373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348600/1
Therefore the LCM of Fractions 83/864,4200/1373 is 348600
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 1373
List of positive integer factors of 1373 that divides 1373 without a remainder.
1,1373
Greatest Common Factor
We found the factors 864,1373 . The biggest common factor number is the GCF number.
So the greatest common factor 864,1373 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 83/864, 4200/1373?
Answer: LCM of Numerators as per given numbers 83/864, 4200/1373 is
LCM of Numerators i.e. for 83,4200 is 348600
GCF of denominators i.e. for 864,1373 is 1.
Thus, LCM of Fractions is 348600.Finally, LCM of Fractions for 83/864, 4200/1373 is 348600.