Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 905/27, 666/47, 706/538 quickly i.e. 212763690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 905/27, 666/47, 706/538 is 212763690.
LCM(905/27, 666/47, 706/538) = 212763690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 905/27,666/47,706/538
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 905,666,706
Least Common Multiple of Numerators i.e. LCM of 905,666,706 is 212763690.
GCF of Denominators means GCF of 27,47,538 as per the given fractions.
GCF of 27,47,538 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 905,666,706
2 | 905, 666, 706 |
905, 333, 353 |
∴ So the LCM of the given numbers is 2 x 905 x 333 x 353 = 212763690
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 905,666,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,666,706) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(905,666,706) x common factors =1 x 2 = 2
LCM(905,666,706) = ( 905 × 666 × 706 ) / 2
LCM(905,666,706) = 425527380 / 2
LCM(905,666,706) = 212763690
Lets's calculate GCF of 27,47,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212763690/1
Therefore the LCM of Fractions 905/27,666/47,706/538 is 212763690
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Greatest Common Factor
We found the factors 27,47,538 . The biggest common factor number is the GCF number.
So the greatest common factor 27,47,538 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 905/27, 666/47, 706/538?
Answer: LCM of Numerators as per given numbers 905/27, 666/47, 706/538 is
LCM of Numerators i.e. for 905,666,706 is 212763690
GCF of denominators i.e. for 27,47,538 is 1.
Thus, LCM of Fractions is 212763690.Finally, LCM of Fractions for 905/27, 666/47, 706/538 is 212763690.