Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/73, 36/93, 93/27, 24/635 quickly i.e. 37944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/73, 36/93, 93/27, 24/635 is 37944.
LCM(68/73, 36/93, 93/27, 24/635) = 37944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/73,36/93,93/27,24/635
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 68,36,93,24
Least Common Multiple of Numerators i.e. LCM of 68,36,93,24 is 37944.
GCF of Denominators means GCF of 73,93,27,635 as per the given fractions.
GCF of 73,93,27,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,36,93,24
2 | 68, 36, 93, 24 |
2 | 34, 18, 93, 12 |
3 | 17, 9, 93, 6 |
17, 3, 31, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 3 x 31 x 2 = 37944
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 68,36,93,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,36,93,24) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(68,36,93,24) x common factors =1 x 144 = 144
LCM(68,36,93,24) = ( 68 × 36 × 93 × 24 ) / 144
LCM(68,36,93,24) = 5463936 / 144
LCM(68,36,93,24) = 37944
Lets's calculate GCF of 73,93,27,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37944/1
Therefore the LCM of Fractions 68/73,36/93,93/27,24/635 is 37944
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 73,93,27,635 . The biggest common factor number is the GCF number.
So the greatest common factor 73,93,27,635 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 68/73, 36/93, 93/27, 24/635?
Answer: LCM of Numerators as per given numbers 68/73, 36/93, 93/27, 24/635 is
LCM of Numerators i.e. for 68,36,93,24 is 37944
GCF of denominators i.e. for 73,93,27,635 is 1.
Thus, LCM of Fractions is 37944.Finally, LCM of Fractions for 68/73, 36/93, 93/27, 24/635 is 37944.