Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/764, 20/660, 387/119 quickly i.e. 54180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/764, 20/660, 387/119 is 54180.
LCM(28/764, 20/660, 387/119) = 54180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/764,20/660,387/119
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 28,20,387
Least Common Multiple of Numerators i.e. LCM of 28,20,387 is 54180.
GCF of Denominators means GCF of 764,660,119 as per the given fractions.
GCF of 764,660,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,20,387
2 | 28, 20, 387 |
2 | 14, 10, 387 |
7, 5, 387 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 387 = 54180
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 28,20,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,20,387) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,20,387) x common factors =1 x 4 = 4
LCM(28,20,387) = ( 28 × 20 × 387 ) / 4
LCM(28,20,387) = 216720 / 4
LCM(28,20,387) = 54180
Lets's calculate GCF of 764,660,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54180/1
Therefore the LCM of Fractions 28/764,20/660,387/119 is 54180
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 764,660,119 . The biggest common factor number is the GCF number.
So the greatest common factor 764,660,119 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 28/764, 20/660, 387/119?
Answer: LCM of Numerators as per given numbers 28/764, 20/660, 387/119 is
LCM of Numerators i.e. for 28,20,387 is 54180
GCF of denominators i.e. for 764,660,119 is 1.
Thus, LCM of Fractions is 54180.Finally, LCM of Fractions for 28/764, 20/660, 387/119 is 54180.