Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 163/72, 8093/656 quickly i.e. 1319159/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 163/72, 8093/656 is 1319159/8.
LCM(163/72, 8093/656) = 1319159/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 163/72,8093/656
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 163,8093
Least Common Multiple of Numerators i.e. LCM of 163,8093 is 1319159.
GCF of Denominators means GCF of 72,656 as per the given fractions.
GCF of 72,656 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 163,8093
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319159
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 163,8093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,8093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,8093) x common factors =1 x 1 = 1
LCM(163,8093) = ( 163 × 8093 ) / 1
LCM(163,8093) = 1319159 / 1
LCM(163,8093) = 1319159
Lets's calculate GCF of 72,656
2 | 72, 656 |
2 | 36, 328 |
2 | 18, 164 |
9, 82 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319159/8
Therefore the LCM of Fractions 163/72,8093/656 is 1319159/8
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 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 72,656 . The biggest common factor number is the GCF number.
So the greatest common factor 72,656 is 8.
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 163/72, 8093/656?
Answer: LCM of Numerators as per given numbers 163/72, 8093/656 is
LCM of Numerators i.e. for 163,8093 is 1319159
GCF of denominators i.e. for 72,656 is 8.
Thus, LCM of Fractions is 1319159/8.Finally, LCM of Fractions for 163/72, 8093/656 is 1319159/8.