Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 155/32, 147/5744 quickly i.e. 22785/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 155/32, 147/5744 is 22785/16.
LCM(155/32, 147/5744) = 22785/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 155/32,147/5744
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 155,147
Least Common Multiple of Numerators i.e. LCM of 155,147 is 22785.
GCF of Denominators means GCF of 32,5744 as per the given fractions.
GCF of 32,5744 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 155,147
Given numbers has no common factors except 1. So, there LCM is their product i.e 22785
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 155,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,147) x common factors =1 x 1 = 1
LCM(155,147) = ( 155 × 147 ) / 1
LCM(155,147) = 22785 / 1
LCM(155,147) = 22785
Lets's calculate GCF of 32,5744
2 | 32, 5744 |
2 | 16, 2872 |
2 | 8, 1436 |
2 | 4, 718 |
2, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22785/16
Therefore the LCM of Fractions 155/32,147/5744 is 22785/16
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 5744
List of positive integer factors of 5744 that divides 5744 without a remainder.
1,2,4,8,16,359,718,1436,2872,5744
Greatest Common Factor
We found the factors 32,5744 . The biggest common factor number is the GCF number.
So the greatest common factor 32,5744 is 16.
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 155/32, 147/5744?
Answer: LCM of Numerators as per given numbers 155/32, 147/5744 is
LCM of Numerators i.e. for 155,147 is 22785
GCF of denominators i.e. for 32,5744 is 16.
Thus, LCM of Fractions is 22785/16.Finally, LCM of Fractions for 155/32, 147/5744 is 22785/16.