Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/916, 20/316, 618/826 quickly i.e. 40170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/916, 20/316, 618/826 is 40170.
LCM(52/916, 20/316, 618/826) = 40170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/916,20/316,618/826
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 52,20,618
Least Common Multiple of Numerators i.e. LCM of 52,20,618 is 80340.
GCF of Denominators means GCF of 916,316,826 as per the given fractions.
GCF of 916,316,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,20,618
2 | 52, 20, 618 |
2 | 26, 10, 309 |
13, 5, 309 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 309 = 80340
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 52,20,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,20,618) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(52,20,618) x common factors =2 x 4 = 8
LCM(52,20,618) = ( 52 × 20 × 618 ) / 8
LCM(52,20,618) = 642720 / 8
LCM(52,20,618) = 80340
Lets's calculate GCF of 916,316,826
2 | 916, 316, 826 |
458, 158, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80340/2
Therefore the LCM of Fractions 52/916,20/316,618/826 is 40170
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 916,316,826 . The biggest common factor number is the GCF number.
So the greatest common factor 916,316,826 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 52/916, 20/316, 618/826?
Answer: LCM of Numerators as per given numbers 52/916, 20/316, 618/826 is
LCM of Numerators i.e. for 52,20,618 is 80340
GCF of denominators i.e. for 916,316,826 is 2.
Thus, LCM of Fractions is 40170.Finally, LCM of Fractions for 52/916, 20/316, 618/826 is 40170.