Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/26, 45/72, 93/76, 85/392 quickly i.e. 23715/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/26, 45/72, 93/76, 85/392 is 23715/2.
LCM(15/26, 45/72, 93/76, 85/392) = 23715/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/26,45/72,93/76,85/392
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 15,45,93,85
Least Common Multiple of Numerators i.e. LCM of 15,45,93,85 is 23715.
GCF of Denominators means GCF of 26,72,76,392 as per the given fractions.
GCF of 26,72,76,392 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,45,93,85
3 | 15, 45, 93, 85 |
5 | 5, 15, 31, 85 |
1, 3, 31, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 3 x 31 x 17 = 23715
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 15,45,93,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,45,93,85) = 1
common factors(in case of two or more numbers have common factors) = 225
GCF(15,45,93,85) x common factors =1 x 225 = 225
LCM(15,45,93,85) = ( 15 × 45 × 93 × 85 ) / 225
LCM(15,45,93,85) = 5335875 / 225
LCM(15,45,93,85) = 23715
Lets's calculate GCF of 26,72,76,392
2 | 26, 72, 76, 392 |
13, 36, 38, 196 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23715/2
Therefore the LCM of Fractions 15/26,45/72,93/76,85/392 is 23715/2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
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 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 26,72,76,392 . The biggest common factor number is the GCF number.
So the greatest common factor 26,72,76,392 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 15/26, 45/72, 93/76, 85/392?
Answer: LCM of Numerators as per given numbers 15/26, 45/72, 93/76, 85/392 is
LCM of Numerators i.e. for 15,45,93,85 is 23715
GCF of denominators i.e. for 26,72,76,392 is 2.
Thus, LCM of Fractions is 23715/2.Finally, LCM of Fractions for 15/26, 45/72, 93/76, 85/392 is 23715/2.