Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/212, 20/406, 57/738 quickly i.e. 570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/212, 20/406, 57/738 is 570.
LCM(4/212, 20/406, 57/738) = 570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/212,20/406,57/738
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 4,20,57
Least Common Multiple of Numerators i.e. LCM of 4,20,57 is 1140.
GCF of Denominators means GCF of 212,406,738 as per the given fractions.
GCF of 212,406,738 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,20,57
2 | 4, 20, 57 |
2 | 2, 10, 57 |
1, 5, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 5 x 57 = 1140
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 4,20,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,20,57) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,20,57) x common factors =1 x 4 = 4
LCM(4,20,57) = ( 4 × 20 × 57 ) / 4
LCM(4,20,57) = 4560 / 4
LCM(4,20,57) = 1140
Lets's calculate GCF of 212,406,738
2 | 212, 406, 738 |
106, 203, 369 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140/2
Therefore the LCM of Fractions 4/212,20/406,57/738 is 570
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 212,406,738 . The biggest common factor number is the GCF number.
So the greatest common factor 212,406,738 is 2.
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 4/212, 20/406, 57/738?
Answer: LCM of Numerators as per given numbers 4/212, 20/406, 57/738 is
LCM of Numerators i.e. for 4,20,57 is 1140
GCF of denominators i.e. for 212,406,738 is 2.
Thus, LCM of Fractions is 570.Finally, LCM of Fractions for 4/212, 20/406, 57/738 is 570.