Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/277, 509/729, 105/789 quickly i.e. 5718615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/277, 509/729, 105/789 is 5718615.
LCM(321/277, 509/729, 105/789) = 5718615
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/277,509/729,105/789
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 321,509,105
Least Common Multiple of Numerators i.e. LCM of 321,509,105 is 5718615.
GCF of Denominators means GCF of 277,729,789 as per the given fractions.
GCF of 277,729,789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,509,105
3 | 321, 509, 105 |
107, 509, 35 |
∴ So the LCM of the given numbers is 3 x 107 x 509 x 35 = 5718615
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 321,509,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,509,105) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(321,509,105) x common factors =1 x 3 = 3
LCM(321,509,105) = ( 321 × 509 × 105 ) / 3
LCM(321,509,105) = 17155845 / 3
LCM(321,509,105) = 5718615
Lets's calculate GCF of 277,729,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5718615/1
Therefore the LCM of Fractions 321/277,509/729,105/789 is 5718615
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 277,729,789 . The biggest common factor number is the GCF number.
So the greatest common factor 277,729,789 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 321/277, 509/729, 105/789?
Answer: LCM of Numerators as per given numbers 321/277, 509/729, 105/789 is
LCM of Numerators i.e. for 321,509,105 is 5718615
GCF of denominators i.e. for 277,729,789 is 1.
Thus, LCM of Fractions is 5718615.Finally, LCM of Fractions for 321/277, 509/729, 105/789 is 5718615.