Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/594, 366/661, 813/618 quickly i.e. 2578836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/594, 366/661, 813/618 is 2578836.
LCM(52/594, 366/661, 813/618) = 2578836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/594,366/661,813/618
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 52,366,813
Least Common Multiple of Numerators i.e. LCM of 52,366,813 is 2578836.
GCF of Denominators means GCF of 594,661,618 as per the given fractions.
GCF of 594,661,618 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,366,813
2 | 52, 366, 813 |
3 | 26, 183, 813 |
26, 61, 271 |
∴ So the LCM of the given numbers is 2 x 3 x 26 x 61 x 271 = 2578836
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 52,366,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,366,813) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(52,366,813) x common factors =1 x 6 = 6
LCM(52,366,813) = ( 52 × 366 × 813 ) / 6
LCM(52,366,813) = 15473016 / 6
LCM(52,366,813) = 2578836
Lets's calculate GCF of 594,661,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2578836/1
Therefore the LCM of Fractions 52/594,366/661,813/618 is 2578836
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 594,661,618 . The biggest common factor number is the GCF number.
So the greatest common factor 594,661,618 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 52/594, 366/661, 813/618?
Answer: LCM of Numerators as per given numbers 52/594, 366/661, 813/618 is
LCM of Numerators i.e. for 52,366,813 is 2578836
GCF of denominators i.e. for 594,661,618 is 1.
Thus, LCM of Fractions is 2578836.Finally, LCM of Fractions for 52/594, 366/661, 813/618 is 2578836.