Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/72, 99/57, 55/91, 64/17 quickly i.e. 31680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/72, 99/57, 55/91, 64/17 is 31680.
LCM(5/72, 99/57, 55/91, 64/17) = 31680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/72,99/57,55/91,64/17
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 5,99,55,64
Least Common Multiple of Numerators i.e. LCM of 5,99,55,64 is 31680.
GCF of Denominators means GCF of 72,57,91,17 as per the given fractions.
GCF of 72,57,91,17 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,99,55,64
5 | 5, 99, 55, 64 |
11 | 1, 99, 11, 64 |
1, 9, 1, 64 |
∴ So the LCM of the given numbers is 5 x 11 x 1 x 9 x 1 x 64 = 31680
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 5,99,55,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,99,55,64) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(5,99,55,64) x common factors =1 x 55 = 55
LCM(5,99,55,64) = ( 5 × 99 × 55 × 64 ) / 55
LCM(5,99,55,64) = 1742400 / 55
LCM(5,99,55,64) = 31680
Lets's calculate GCF of 72,57,91,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31680/1
Therefore the LCM of Fractions 5/72,99/57,55/91,64/17 is 31680
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 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Greatest Common Factor
We found the factors 72,57,91,17 . The biggest common factor number is the GCF number.
So the greatest common factor 72,57,91,17 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 5/72, 99/57, 55/91, 64/17?
Answer: LCM of Numerators as per given numbers 5/72, 99/57, 55/91, 64/17 is
LCM of Numerators i.e. for 5,99,55,64 is 31680
GCF of denominators i.e. for 72,57,91,17 is 1.
Thus, LCM of Fractions is 31680.Finally, LCM of Fractions for 5/72, 99/57, 55/91, 64/17 is 31680.