Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/833, 996/591, 764/334 quickly i.e. 3234012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/833, 996/591, 764/334 is 3234012.
LCM(34/833, 996/591, 764/334) = 3234012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/833,996/591,764/334
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 34,996,764
Least Common Multiple of Numerators i.e. LCM of 34,996,764 is 3234012.
GCF of Denominators means GCF of 833,591,334 as per the given fractions.
GCF of 833,591,334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,996,764
2 | 34, 996, 764 |
2 | 17, 498, 382 |
17, 249, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 249 x 191 = 3234012
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 34,996,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,996,764) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(34,996,764) x common factors =2 x 4 = 8
LCM(34,996,764) = ( 34 × 996 × 764 ) / 8
LCM(34,996,764) = 25872096 / 8
LCM(34,996,764) = 3234012
Lets's calculate GCF of 833,591,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3234012/1
Therefore the LCM of Fractions 34/833,996/591,764/334 is 3234012
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 833,591,334 . The biggest common factor number is the GCF number.
So the greatest common factor 833,591,334 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 34/833, 996/591, 764/334?
Answer: LCM of Numerators as per given numbers 34/833, 996/591, 764/334 is
LCM of Numerators i.e. for 34,996,764 is 3234012
GCF of denominators i.e. for 833,591,334 is 1.
Thus, LCM of Fractions is 3234012.Finally, LCM of Fractions for 34/833, 996/591, 764/334 is 3234012.