Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/60, 43/63, 49/99, 24/12 quickly i.e. 67424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/60, 43/63, 49/99, 24/12 is 67424.
LCM(32/60, 43/63, 49/99, 24/12) = 67424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/60,43/63,49/99,24/12
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 32,43,49,24
Least Common Multiple of Numerators i.e. LCM of 32,43,49,24 is 202272.
GCF of Denominators means GCF of 60,63,99,12 as per the given fractions.
GCF of 60,63,99,12 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,43,49,24
2 | 32, 43, 49, 24 |
2 | 16, 43, 49, 12 |
2 | 8, 43, 49, 6 |
4, 43, 49, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 43 x 49 x 3 = 202272
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 32,43,49,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,43,49,24) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(32,43,49,24) x common factors =1 x 8 = 8
LCM(32,43,49,24) = ( 32 × 43 × 49 × 24 ) / 8
LCM(32,43,49,24) = 1618176 / 8
LCM(32,43,49,24) = 202272
Lets's calculate GCF of 60,63,99,12
3 | 60, 63, 99, 12 |
20, 21, 33, 4 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202272/3
Therefore the LCM of Fractions 32/60,43/63,49/99,24/12 is 67424
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 60,63,99,12 . The biggest common factor number is the GCF number.
So the greatest common factor 60,63,99,12 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 32/60, 43/63, 49/99, 24/12?
Answer: LCM of Numerators as per given numbers 32/60, 43/63, 49/99, 24/12 is
LCM of Numerators i.e. for 32,43,49,24 is 202272
GCF of denominators i.e. for 60,63,99,12 is 3.
Thus, LCM of Fractions is 67424.Finally, LCM of Fractions for 32/60, 43/63, 49/99, 24/12 is 67424.