Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/132, 50/554, 570/213 quickly i.e. 5700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/132, 50/554, 570/213 is 5700.
LCM(20/132, 50/554, 570/213) = 5700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/132,50/554,570/213
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 20,50,570
Least Common Multiple of Numerators i.e. LCM of 20,50,570 is 5700.
GCF of Denominators means GCF of 132,554,213 as per the given fractions.
GCF of 132,554,213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,50,570
2 | 20, 50, 570 |
5 | 10, 25, 285 |
2, 5, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 5 x 57 = 5700
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 20,50,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,50,570) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(20,50,570) x common factors =10 x 10 = 100
LCM(20,50,570) = ( 20 × 50 × 570 ) / 100
LCM(20,50,570) = 570000 / 100
LCM(20,50,570) = 5700
Lets's calculate GCF of 132,554,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700/1
Therefore the LCM of Fractions 20/132,50/554,570/213 is 5700
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 132,554,213 . The biggest common factor number is the GCF number.
So the greatest common factor 132,554,213 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 20/132, 50/554, 570/213?
Answer: LCM of Numerators as per given numbers 20/132, 50/554, 570/213 is
LCM of Numerators i.e. for 20,50,570 is 5700
GCF of denominators i.e. for 132,554,213 is 1.
Thus, LCM of Fractions is 5700.Finally, LCM of Fractions for 20/132, 50/554, 570/213 is 5700.