Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 532/18, 145/8097 quickly i.e. 77140/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 532/18, 145/8097 is 77140/3.
LCM(532/18, 145/8097) = 77140/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 532/18,145/8097
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 532,145
Least Common Multiple of Numerators i.e. LCM of 532,145 is 77140.
GCF of Denominators means GCF of 18,8097 as per the given fractions.
GCF of 18,8097 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 532,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 77140
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 532,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,145) x common factors =1 x 1 = 1
LCM(532,145) = ( 532 × 145 ) / 1
LCM(532,145) = 77140 / 1
LCM(532,145) = 77140
Lets's calculate GCF of 18,8097
3 | 18, 8097 |
6, 2699 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77140/3
Therefore the LCM of Fractions 532/18,145/8097 is 77140/3
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 8097
List of positive integer factors of 8097 that divides 8097 without a remainder.
1,3,2699,8097
Greatest Common Factor
We found the factors 18,8097 . The biggest common factor number is the GCF number.
So the greatest common factor 18,8097 is 3.
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 532/18, 145/8097?
Answer: LCM of Numerators as per given numbers 532/18, 145/8097 is
LCM of Numerators i.e. for 532,145 is 77140
GCF of denominators i.e. for 18,8097 is 3.
Thus, LCM of Fractions is 77140/3.Finally, LCM of Fractions for 532/18, 145/8097 is 77140/3.