Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/297, 73/917, 135/819 quickly i.e. 226665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/297, 73/917, 135/819 is 226665.
LCM(69/297, 73/917, 135/819) = 226665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/297,73/917,135/819
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 69,73,135
Least Common Multiple of Numerators i.e. LCM of 69,73,135 is 226665.
GCF of Denominators means GCF of 297,917,819 as per the given fractions.
GCF of 297,917,819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,73,135
3 | 69, 73, 135 |
23, 73, 45 |
∴ So the LCM of the given numbers is 3 x 23 x 73 x 45 = 226665
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 69,73,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,73,135) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,73,135) x common factors =1 x 3 = 3
LCM(69,73,135) = ( 69 × 73 × 135 ) / 3
LCM(69,73,135) = 679995 / 3
LCM(69,73,135) = 226665
Lets's calculate GCF of 297,917,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226665/1
Therefore the LCM of Fractions 69/297,73/917,135/819 is 226665
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 297,917,819 . The biggest common factor number is the GCF number.
So the greatest common factor 297,917,819 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 69/297, 73/917, 135/819?
Answer: LCM of Numerators as per given numbers 69/297, 73/917, 135/819 is
LCM of Numerators i.e. for 69,73,135 is 226665
GCF of denominators i.e. for 297,917,819 is 1.
Thus, LCM of Fractions is 226665.Finally, LCM of Fractions for 69/297, 73/917, 135/819 is 226665.