Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/34, 86/838, 283/996 quickly i.e. 206873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/34, 86/838, 283/996 is 206873.
LCM(34/34, 86/838, 283/996) = 206873
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/34,86/838,283/996
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 34,86,283
Least Common Multiple of Numerators i.e. LCM of 34,86,283 is 413746.
GCF of Denominators means GCF of 34,838,996 as per the given fractions.
GCF of 34,838,996 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,86,283
2 | 34, 86, 283 |
17, 43, 283 |
∴ So the LCM of the given numbers is 2 x 17 x 43 x 283 = 413746
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 34,86,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,86,283) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,86,283) x common factors =1 x 2 = 2
LCM(34,86,283) = ( 34 × 86 × 283 ) / 2
LCM(34,86,283) = 827492 / 2
LCM(34,86,283) = 413746
Lets's calculate GCF of 34,838,996
2 | 34, 838, 996 |
17, 419, 498 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413746/2
Therefore the LCM of Fractions 34/34,86/838,283/996 is 206873
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 34,838,996 . The biggest common factor number is the GCF number.
So the greatest common factor 34,838,996 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 34/34, 86/838, 283/996?
Answer: LCM of Numerators as per given numbers 34/34, 86/838, 283/996 is
LCM of Numerators i.e. for 34,86,283 is 413746
GCF of denominators i.e. for 34,838,996 is 2.
Thus, LCM of Fractions is 206873.Finally, LCM of Fractions for 34/34, 86/838, 283/996 is 206873.