Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 549/21, 338/27, 845/534 quickly i.e. 309270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 549/21, 338/27, 845/534 is 309270.
LCM(549/21, 338/27, 845/534) = 309270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 549/21,338/27,845/534
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 549,338,845
Least Common Multiple of Numerators i.e. LCM of 549,338,845 is 927810.
GCF of Denominators means GCF of 21,27,534 as per the given fractions.
GCF of 21,27,534 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 549,338,845
13 | 549, 338, 845 |
13 | 549, 26, 65 |
549, 2, 5 |
∴ So the LCM of the given numbers is 13 x 13 x 549 x 2 x 5 = 927810
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 549,338,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,338,845) = 1
common factors(in case of two or more numbers have common factors) = 169
GCF(549,338,845) x common factors =1 x 169 = 169
LCM(549,338,845) = ( 549 × 338 × 845 ) / 169
LCM(549,338,845) = 156799890 / 169
LCM(549,338,845) = 927810
Lets's calculate GCF of 21,27,534
3 | 21, 27, 534 |
7, 9, 178 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927810/3
Therefore the LCM of Fractions 549/21,338/27,845/534 is 309270
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 21,27,534 . The biggest common factor number is the GCF number.
So the greatest common factor 21,27,534 is 3.
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 549/21, 338/27, 845/534?
Answer: LCM of Numerators as per given numbers 549/21, 338/27, 845/534 is
LCM of Numerators i.e. for 549,338,845 is 927810
GCF of denominators i.e. for 21,27,534 is 3.
Thus, LCM of Fractions is 309270.Finally, LCM of Fractions for 549/21, 338/27, 845/534 is 309270.