Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/453, 1647/5879 quickly i.e. 136701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/453, 1647/5879 is 136701.
LCM(83/453, 1647/5879) = 136701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/453,1647/5879
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 83,1647
Least Common Multiple of Numerators i.e. LCM of 83,1647 is 136701.
GCF of Denominators means GCF of 453,5879 as per the given fractions.
GCF of 453,5879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,1647
Given numbers has no common factors except 1. So, there LCM is their product i.e 136701
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 83,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,1647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,1647) x common factors =1 x 1 = 1
LCM(83,1647) = ( 83 × 1647 ) / 1
LCM(83,1647) = 136701 / 1
LCM(83,1647) = 136701
Lets's calculate GCF of 453,5879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136701/1
Therefore the LCM of Fractions 83/453,1647/5879 is 136701
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 5879
List of positive integer factors of 5879 that divides 5879 without a remainder.
1,5879
Greatest Common Factor
We found the factors 453,5879 . The biggest common factor number is the GCF number.
So the greatest common factor 453,5879 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 83/453, 1647/5879?
Answer: LCM of Numerators as per given numbers 83/453, 1647/5879 is
LCM of Numerators i.e. for 83,1647 is 136701
GCF of denominators i.e. for 453,5879 is 1.
Thus, LCM of Fractions is 136701.Finally, LCM of Fractions for 83/453, 1647/5879 is 136701.