Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 306/96, 446/18, 507/261 quickly i.e. 3844074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 306/96, 446/18, 507/261 is 3844074.
LCM(306/96, 446/18, 507/261) = 3844074
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 306/96,446/18,507/261
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 306,446,507
Least Common Multiple of Numerators i.e. LCM of 306,446,507 is 11532222.
GCF of Denominators means GCF of 96,18,261 as per the given fractions.
GCF of 96,18,261 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 306,446,507
2 | 306, 446, 507 |
3 | 153, 223, 507 |
51, 223, 169 |
∴ So the LCM of the given numbers is 2 x 3 x 51 x 223 x 169 = 11532222
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 306,446,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,446,507) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(306,446,507) x common factors =1 x 6 = 6
LCM(306,446,507) = ( 306 × 446 × 507 ) / 6
LCM(306,446,507) = 69193332 / 6
LCM(306,446,507) = 11532222
Lets's calculate GCF of 96,18,261
3 | 96, 18, 261 |
32, 6, 87 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11532222/3
Therefore the LCM of Fractions 306/96,446/18,507/261 is 3844074
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 96,18,261 . The biggest common factor number is the GCF number.
So the greatest common factor 96,18,261 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 306/96, 446/18, 507/261?
Answer: LCM of Numerators as per given numbers 306/96, 446/18, 507/261 is
LCM of Numerators i.e. for 306,446,507 is 11532222
GCF of denominators i.e. for 96,18,261 is 3.
Thus, LCM of Fractions is 3844074.Finally, LCM of Fractions for 306/96, 446/18, 507/261 is 3844074.