Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/72, 99/80, 24/70, 12/28 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/72, 99/80, 24/70, 12/28 is 2772.
LCM(63/72, 99/80, 24/70, 12/28) = 2772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/72,99/80,24/70,12/28
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 63,99,24,12
Least Common Multiple of Numerators i.e. LCM of 63,99,24,12 is 5544.
GCF of Denominators means GCF of 72,80,70,28 as per the given fractions.
GCF of 72,80,70,28 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,99,24,12
2 | 63, 99, 24, 12 |
2 | 63, 99, 12, 6 |
3 | 63, 99, 3, 6 |
3 | 21, 33, 1, 2 |
7, 11, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 11 x 1 x 2 = 5544
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 63,99,24,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,99,24,12) = 3
common factors(in case of two or more numbers have common factors) = 108
GCF(63,99,24,12) x common factors =3 x 108 = 324
LCM(63,99,24,12) = ( 63 × 99 × 24 × 12 ) / 324
LCM(63,99,24,12) = 1796256 / 324
LCM(63,99,24,12) = 5544
Lets's calculate GCF of 72,80,70,28
2 | 72, 80, 70, 28 |
36, 40, 35, 14 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/2
Therefore the LCM of Fractions 63/72,99/80,24/70,12/28 is 2772
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Greatest Common Factor
We found the factors 72,80,70,28 . The biggest common factor number is the GCF number.
So the greatest common factor 72,80,70,28 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 63/72, 99/80, 24/70, 12/28?
Answer: LCM of Numerators as per given numbers 63/72, 99/80, 24/70, 12/28 is
LCM of Numerators i.e. for 63,99,24,12 is 5544
GCF of denominators i.e. for 72,80,70,28 is 2.
Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 63/72, 99/80, 24/70, 12/28 is 2772.