Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/32, 24/27, 75/23, 62/159 quickly i.e. 18600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/32, 24/27, 75/23, 62/159 is 18600.
LCM(75/32, 24/27, 75/23, 62/159) = 18600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/32,24/27,75/23,62/159
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 75,24,75,62
Least Common Multiple of Numerators i.e. LCM of 75,24,75,62 is 18600.
GCF of Denominators means GCF of 32,27,23,159 as per the given fractions.
GCF of 32,27,23,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,24,75,62
2 | 75, 24, 75, 62 |
3 | 75, 12, 75, 31 |
5 | 25, 4, 25, 31 |
5 | 5, 4, 5, 31 |
1, 4, 1, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 4 x 1 x 31 = 18600
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 75,24,75,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,24,75,62) = 1
common factors(in case of two or more numbers have common factors) = 450
GCF(75,24,75,62) x common factors =1 x 450 = 450
LCM(75,24,75,62) = ( 75 × 24 × 75 × 62 ) / 450
LCM(75,24,75,62) = 8370000 / 450
LCM(75,24,75,62) = 18600
Lets's calculate GCF of 32,27,23,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18600/1
Therefore the LCM of Fractions 75/32,24/27,75/23,62/159 is 18600
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 32,27,23,159 . The biggest common factor number is the GCF number.
So the greatest common factor 32,27,23,159 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 75/32, 24/27, 75/23, 62/159?
Answer: LCM of Numerators as per given numbers 75/32, 24/27, 75/23, 62/159 is
LCM of Numerators i.e. for 75,24,75,62 is 18600
GCF of denominators i.e. for 32,27,23,159 is 1.
Thus, LCM of Fractions is 18600.Finally, LCM of Fractions for 75/32, 24/27, 75/23, 62/159 is 18600.