Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 571/135, 793/808, 327/633 quickly i.e. 148066581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 571/135, 793/808, 327/633 is 148066581.
LCM(571/135, 793/808, 327/633) = 148066581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 571/135,793/808,327/633
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 571,793,327
Least Common Multiple of Numerators i.e. LCM of 571,793,327 is 148066581.
GCF of Denominators means GCF of 135,808,633 as per the given fractions.
GCF of 135,808,633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 571,793,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 148066581
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 571,793,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,793,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,793,327) x common factors =1 x 1 = 1
LCM(571,793,327) = ( 571 × 793 × 327 ) / 1
LCM(571,793,327) = 148066581 / 1
LCM(571,793,327) = 148066581
Lets's calculate GCF of 135,808,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148066581/1
Therefore the LCM of Fractions 571/135,793/808,327/633 is 148066581
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 135,808,633 . The biggest common factor number is the GCF number.
So the greatest common factor 135,808,633 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 571/135, 793/808, 327/633?
Answer: LCM of Numerators as per given numbers 571/135, 793/808, 327/633 is
LCM of Numerators i.e. for 571,793,327 is 148066581
GCF of denominators i.e. for 135,808,633 is 1.
Thus, LCM of Fractions is 148066581.Finally, LCM of Fractions for 571/135, 793/808, 327/633 is 148066581.