Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/903, 977/534, 412/611 quickly i.e. 10868148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/903, 977/534, 412/611 is 10868148.
LCM(27/903, 977/534, 412/611) = 10868148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/903,977/534,412/611
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 27,977,412
Least Common Multiple of Numerators i.e. LCM of 27,977,412 is 10868148.
GCF of Denominators means GCF of 903,534,611 as per the given fractions.
GCF of 903,534,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,977,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 10868148
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 27,977,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,977,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,977,412) x common factors =1 x 1 = 1
LCM(27,977,412) = ( 27 × 977 × 412 ) / 1
LCM(27,977,412) = 10868148 / 1
LCM(27,977,412) = 10868148
Lets's calculate GCF of 903,534,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10868148/1
Therefore the LCM of Fractions 27/903,977/534,412/611 is 10868148
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 903,534,611 . The biggest common factor number is the GCF number.
So the greatest common factor 903,534,611 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 27/903, 977/534, 412/611?
Answer: LCM of Numerators as per given numbers 27/903, 977/534, 412/611 is
LCM of Numerators i.e. for 27,977,412 is 10868148
GCF of denominators i.e. for 903,534,611 is 1.
Thus, LCM of Fractions is 10868148.Finally, LCM of Fractions for 27/903, 977/534, 412/611 is 10868148.