Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 180/56, 193/8772 quickly i.e. 8685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 180/56, 193/8772 is 8685.
LCM(180/56, 193/8772) = 8685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 180/56,193/8772
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 180,193
Least Common Multiple of Numerators i.e. LCM of 180,193 is 34740.
GCF of Denominators means GCF of 56,8772 as per the given fractions.
GCF of 56,8772 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 180,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 34740
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 180,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,193) x common factors =1 x 1 = 1
LCM(180,193) = ( 180 × 193 ) / 1
LCM(180,193) = 34740 / 1
LCM(180,193) = 34740
Lets's calculate GCF of 56,8772
2 | 56, 8772 |
2 | 28, 4386 |
14, 2193 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34740/4
Therefore the LCM of Fractions 180/56,193/8772 is 8685
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 8772
List of positive integer factors of 8772 that divides 8772 without a remainder.
1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 56,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8772 is 4.
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 180/56, 193/8772?
Answer: LCM of Numerators as per given numbers 180/56, 193/8772 is
LCM of Numerators i.e. for 180,193 is 34740
GCF of denominators i.e. for 56,8772 is 4.
Thus, LCM of Fractions is 8685.Finally, LCM of Fractions for 180/56, 193/8772 is 8685.