Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/25, 93/17, 44/85, 15/379 quickly i.e. 20460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/25, 93/17, 44/85, 15/379 is 20460.
LCM(44/25, 93/17, 44/85, 15/379) = 20460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/25,93/17,44/85,15/379
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 44,93,44,15
Least Common Multiple of Numerators i.e. LCM of 44,93,44,15 is 20460.
GCF of Denominators means GCF of 25,17,85,379 as per the given fractions.
GCF of 25,17,85,379 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,93,44,15
2 | 44, 93, 44, 15 |
2 | 22, 93, 22, 15 |
3 | 11, 93, 11, 15 |
11 | 11, 31, 11, 5 |
1, 31, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 31 x 1 x 5 = 20460
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 44,93,44,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,93,44,15) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(44,93,44,15) x common factors =1 x 132 = 132
LCM(44,93,44,15) = ( 44 × 93 × 44 × 15 ) / 132
LCM(44,93,44,15) = 2700720 / 132
LCM(44,93,44,15) = 20460
Lets's calculate GCF of 25,17,85,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20460/1
Therefore the LCM of Fractions 44/25,93/17,44/85,15/379 is 20460
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 25,17,85,379 . The biggest common factor number is the GCF number.
So the greatest common factor 25,17,85,379 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 44/25, 93/17, 44/85, 15/379?
Answer: LCM of Numerators as per given numbers 44/25, 93/17, 44/85, 15/379 is
LCM of Numerators i.e. for 44,93,44,15 is 20460
GCF of denominators i.e. for 25,17,85,379 is 1.
Thus, LCM of Fractions is 20460.Finally, LCM of Fractions for 44/25, 93/17, 44/85, 15/379 is 20460.