Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/672, 27/911, 324/290 quickly i.e. 324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/672, 27/911, 324/290 is 324.
LCM(12/672, 27/911, 324/290) = 324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/672,27/911,324/290
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 12,27,324
Least Common Multiple of Numerators i.e. LCM of 12,27,324 is 324.
GCF of Denominators means GCF of 672,911,290 as per the given fractions.
GCF of 672,911,290 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,27,324
2 | 12, 27, 324 |
2 | 6, 27, 162 |
3 | 3, 27, 81 |
3 | 1, 9, 27 |
3 | 1, 3, 9 |
1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 1 x 3 = 324
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 12,27,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,27,324) = 3
common factors(in case of two or more numbers have common factors) = 108
GCF(12,27,324) x common factors =3 x 108 = 324
LCM(12,27,324) = ( 12 × 27 × 324 ) / 324
LCM(12,27,324) = 104976 / 324
LCM(12,27,324) = 324
Lets's calculate GCF of 672,911,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324/1
Therefore the LCM of Fractions 12/672,27/911,324/290 is 324
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 672,911,290 . The biggest common factor number is the GCF number.
So the greatest common factor 672,911,290 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 12/672, 27/911, 324/290?
Answer: LCM of Numerators as per given numbers 12/672, 27/911, 324/290 is
LCM of Numerators i.e. for 12,27,324 is 324
GCF of denominators i.e. for 672,911,290 is 1.
Thus, LCM of Fractions is 324.Finally, LCM of Fractions for 12/672, 27/911, 324/290 is 324.