Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/51, 33/239, 93/834 quickly i.e. 1023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/51, 33/239, 93/834 is 1023.
LCM(1/51, 33/239, 93/834) = 1023
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/51,33/239,93/834
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 1,33,93
Least Common Multiple of Numerators i.e. LCM of 1,33,93 is 1023.
GCF of Denominators means GCF of 51,239,834 as per the given fractions.
GCF of 51,239,834 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,33,93
3 | 1, 33, 93 |
1, 11, 31 |
∴ So the LCM of the given numbers is 3 x 1 x 11 x 31 = 1023
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 1,33,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,33,93) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(1,33,93) x common factors =1 x 3 = 3
LCM(1,33,93) = ( 1 × 33 × 93 ) / 3
LCM(1,33,93) = 3069 / 3
LCM(1,33,93) = 1023
Lets's calculate GCF of 51,239,834
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1023/1
Therefore the LCM of Fractions 1/51,33/239,93/834 is 1023
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Greatest Common Factor
We found the factors 51,239,834 . The biggest common factor number is the GCF number.
So the greatest common factor 51,239,834 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 1/51, 33/239, 93/834?
Answer: LCM of Numerators as per given numbers 1/51, 33/239, 93/834 is
LCM of Numerators i.e. for 1,33,93 is 1023
GCF of denominators i.e. for 51,239,834 is 1.
Thus, LCM of Fractions is 1023.Finally, LCM of Fractions for 1/51, 33/239, 93/834 is 1023.