Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/12, 32/98, 27/21, 45/663 quickly i.e. 4320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/12, 32/98, 27/21, 45/663 is 4320.
LCM(15/12, 32/98, 27/21, 45/663) = 4320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/12,32/98,27/21,45/663
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 15,32,27,45
Least Common Multiple of Numerators i.e. LCM of 15,32,27,45 is 4320.
GCF of Denominators means GCF of 12,98,21,663 as per the given fractions.
GCF of 12,98,21,663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,32,27,45
3 | 15, 32, 27, 45 |
3 | 5, 32, 9, 15 |
5 | 5, 32, 3, 5 |
1, 32, 3, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 32 x 3 x 1 = 4320
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 15,32,27,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,32,27,45) = 1
common factors(in case of two or more numbers have common factors) = 135
GCF(15,32,27,45) x common factors =1 x 135 = 135
LCM(15,32,27,45) = ( 15 × 32 × 27 × 45 ) / 135
LCM(15,32,27,45) = 583200 / 135
LCM(15,32,27,45) = 4320
Lets's calculate GCF of 12,98,21,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4320/1
Therefore the LCM of Fractions 15/12,32/98,27/21,45/663 is 4320
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 12,98,21,663 . The biggest common factor number is the GCF number.
So the greatest common factor 12,98,21,663 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 15/12, 32/98, 27/21, 45/663?
Answer: LCM of Numerators as per given numbers 15/12, 32/98, 27/21, 45/663 is
LCM of Numerators i.e. for 15,32,27,45 is 4320
GCF of denominators i.e. for 12,98,21,663 is 1.
Thus, LCM of Fractions is 4320.Finally, LCM of Fractions for 15/12, 32/98, 27/21, 45/663 is 4320.