Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/44, 79/20, 149/55 quickly i.e. 176565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/44, 79/20, 149/55 is 176565.
LCM(15/44, 79/20, 149/55) = 176565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/44,79/20,149/55
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 15,79,149
Least Common Multiple of Numerators i.e. LCM of 15,79,149 is 176565.
GCF of Denominators means GCF of 44,20,55 as per the given fractions.
GCF of 44,20,55 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,79,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 176565
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 15,79,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,79,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,79,149) x common factors =1 x 1 = 1
LCM(15,79,149) = ( 15 × 79 × 149 ) / 1
LCM(15,79,149) = 176565 / 1
LCM(15,79,149) = 176565
Lets's calculate GCF of 44,20,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176565/1
Therefore the LCM of Fractions 15/44,79/20,149/55 is 176565
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 44,20,55 . The biggest common factor number is the GCF number.
So the greatest common factor 44,20,55 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 15/44, 79/20, 149/55?
Answer: LCM of Numerators as per given numbers 15/44, 79/20, 149/55 is
LCM of Numerators i.e. for 15,79,149 is 176565
GCF of denominators i.e. for 44,20,55 is 1.
Thus, LCM of Fractions is 176565.Finally, LCM of Fractions for 15/44, 79/20, 149/55 is 176565.