Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/738, 2868/533 quickly i.e. 444540/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/738, 2868/533 is 444540/41.
LCM(620/738, 2868/533) = 444540/41
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/738,2868/533
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 620,2868
Least Common Multiple of Numerators i.e. LCM of 620,2868 is 444540.
GCF of Denominators means GCF of 738,533 as per the given fractions.
GCF of 738,533 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,2868
2 | 620, 2868 |
2 | 310, 1434 |
155, 717 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 717 = 444540
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 620,2868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,2868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,2868) x common factors =4 x 1 = 4
LCM(620,2868) = ( 620 × 2868 ) / 4
LCM(620,2868) = 1778160 / 4
LCM(620,2868) = 444540
Lets's calculate GCF of 738,533
41 | 738, 533 |
18, 13 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444540/41
Therefore the LCM of Fractions 620/738,2868/533 is 444540/41
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
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Greatest Common Factor
We found the factors 738,533 . The biggest common factor number is the GCF number.
So the greatest common factor 738,533 is 41.
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 620/738, 2868/533?
Answer: LCM of Numerators as per given numbers 620/738, 2868/533 is
LCM of Numerators i.e. for 620,2868 is 444540
GCF of denominators i.e. for 738,533 is 41.
Thus, LCM of Fractions is 444540/41.Finally, LCM of Fractions for 620/738, 2868/533 is 444540/41.