Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/784, 22/406, 579/772 quickly i.e. 108273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/784, 22/406, 579/772 is 108273.
LCM(34/784, 22/406, 579/772) = 108273
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/784,22/406,579/772
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 34,22,579
Least Common Multiple of Numerators i.e. LCM of 34,22,579 is 216546.
GCF of Denominators means GCF of 784,406,772 as per the given fractions.
GCF of 784,406,772 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,22,579
2 | 34, 22, 579 |
17, 11, 579 |
∴ So the LCM of the given numbers is 2 x 17 x 11 x 579 = 216546
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 34,22,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,22,579) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,22,579) x common factors =1 x 2 = 2
LCM(34,22,579) = ( 34 × 22 × 579 ) / 2
LCM(34,22,579) = 433092 / 2
LCM(34,22,579) = 216546
Lets's calculate GCF of 784,406,772
2 | 784, 406, 772 |
392, 203, 386 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216546/2
Therefore the LCM of Fractions 34/784,22/406,579/772 is 108273
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 784,406,772 . The biggest common factor number is the GCF number.
So the greatest common factor 784,406,772 is 2.
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 34/784, 22/406, 579/772?
Answer: LCM of Numerators as per given numbers 34/784, 22/406, 579/772 is
LCM of Numerators i.e. for 34,22,579 is 216546
GCF of denominators i.e. for 784,406,772 is 2.
Thus, LCM of Fractions is 108273.Finally, LCM of Fractions for 34/784, 22/406, 579/772 is 108273.