Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 549/338, 2866/864 quickly i.e. 786717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 549/338, 2866/864 is 786717.
LCM(549/338, 2866/864) = 786717
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 549/338,2866/864
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 549,2866
Least Common Multiple of Numerators i.e. LCM of 549,2866 is 1573434.
GCF of Denominators means GCF of 338,864 as per the given fractions.
GCF of 338,864 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 549,2866
Given numbers has no common factors except 1. So, there LCM is their product i.e 1573434
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 549,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,2866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,2866) x common factors =1 x 1 = 1
LCM(549,2866) = ( 549 × 2866 ) / 1
LCM(549,2866) = 1573434 / 1
LCM(549,2866) = 1573434
Lets's calculate GCF of 338,864
2 | 338, 864 |
169, 432 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1573434/2
Therefore the LCM of Fractions 549/338,2866/864 is 786717
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 338,864 . The biggest common factor number is the GCF number.
So the greatest common factor 338,864 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 549/338, 2866/864?
Answer: LCM of Numerators as per given numbers 549/338, 2866/864 is
LCM of Numerators i.e. for 549,2866 is 1573434
GCF of denominators i.e. for 338,864 is 2.
Thus, LCM of Fractions is 786717.Finally, LCM of Fractions for 549/338, 2866/864 is 786717.