Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/821, 69/771, 259/997 quickly i.e. 607614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/821, 69/771, 259/997 is 607614.
LCM(34/821, 69/771, 259/997) = 607614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/821,69/771,259/997
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 34,69,259
Least Common Multiple of Numerators i.e. LCM of 34,69,259 is 607614.
GCF of Denominators means GCF of 821,771,997 as per the given fractions.
GCF of 821,771,997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,69,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 607614
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 34,69,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,69,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,69,259) x common factors =1 x 1 = 1
LCM(34,69,259) = ( 34 × 69 × 259 ) / 1
LCM(34,69,259) = 607614 / 1
LCM(34,69,259) = 607614
Lets's calculate GCF of 821,771,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607614/1
Therefore the LCM of Fractions 34/821,69/771,259/997 is 607614
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 821,771,997 . The biggest common factor number is the GCF number.
So the greatest common factor 821,771,997 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 34/821, 69/771, 259/997?
Answer: LCM of Numerators as per given numbers 34/821, 69/771, 259/997 is
LCM of Numerators i.e. for 34,69,259 is 607614
GCF of denominators i.e. for 821,771,997 is 1.
Thus, LCM of Fractions is 607614.Finally, LCM of Fractions for 34/821, 69/771, 259/997 is 607614.