Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/759, 55/208, 45/819 quickly i.e. 495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/759, 55/208, 45/819 is 495.
LCM(9/759, 55/208, 45/819) = 495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/759,55/208,45/819
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 9,55,45
Least Common Multiple of Numerators i.e. LCM of 9,55,45 is 495.
GCF of Denominators means GCF of 759,208,819 as per the given fractions.
GCF of 759,208,819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,55,45
3 | 9, 55, 45 |
3 | 3, 55, 15 |
5 | 1, 55, 5 |
1, 11, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 11 x 1 = 495
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 9,55,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,55,45) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(9,55,45) x common factors =1 x 45 = 45
LCM(9,55,45) = ( 9 × 55 × 45 ) / 45
LCM(9,55,45) = 22275 / 45
LCM(9,55,45) = 495
Lets's calculate GCF of 759,208,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495/1
Therefore the LCM of Fractions 9/759,55/208,45/819 is 495
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
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 759,208,819 . The biggest common factor number is the GCF number.
So the greatest common factor 759,208,819 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 9/759, 55/208, 45/819?
Answer: LCM of Numerators as per given numbers 9/759, 55/208, 45/819 is
LCM of Numerators i.e. for 9,55,45 is 495
GCF of denominators i.e. for 759,208,819 is 1.
Thus, LCM of Fractions is 495.Finally, LCM of Fractions for 9/759, 55/208, 45/819 is 495.