Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/538, 618/273, 856/410 quickly i.e. 16134744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/538, 618/273, 856/410 is 16134744.
LCM(61/538, 618/273, 856/410) = 16134744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/538,618/273,856/410
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 61,618,856
Least Common Multiple of Numerators i.e. LCM of 61,618,856 is 16134744.
GCF of Denominators means GCF of 538,273,410 as per the given fractions.
GCF of 538,273,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,618,856
2 | 61, 618, 856 |
61, 309, 428 |
∴ So the LCM of the given numbers is 2 x 61 x 309 x 428 = 16134744
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 61,618,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,618,856) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,618,856) x common factors =1 x 2 = 2
LCM(61,618,856) = ( 61 × 618 × 856 ) / 2
LCM(61,618,856) = 32269488 / 2
LCM(61,618,856) = 16134744
Lets's calculate GCF of 538,273,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16134744/1
Therefore the LCM of Fractions 61/538,618/273,856/410 is 16134744
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 538,273,410 . The biggest common factor number is the GCF number.
So the greatest common factor 538,273,410 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 61/538, 618/273, 856/410?
Answer: LCM of Numerators as per given numbers 61/538, 618/273, 856/410 is
LCM of Numerators i.e. for 61,618,856 is 16134744
GCF of denominators i.e. for 538,273,410 is 1.
Thus, LCM of Fractions is 16134744.Finally, LCM of Fractions for 61/538, 618/273, 856/410 is 16134744.