Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/982, 28/737, 71/615 quickly i.e. 1988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/982, 28/737, 71/615 is 1988.
LCM(2/982, 28/737, 71/615) = 1988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/982,28/737,71/615
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 2,28,71
Least Common Multiple of Numerators i.e. LCM of 2,28,71 is 1988.
GCF of Denominators means GCF of 982,737,615 as per the given fractions.
GCF of 982,737,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,28,71
2 | 2, 28, 71 |
1, 14, 71 |
∴ So the LCM of the given numbers is 2 x 1 x 14 x 71 = 1988
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 2,28,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,28,71) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,28,71) x common factors =1 x 2 = 2
LCM(2,28,71) = ( 2 × 28 × 71 ) / 2
LCM(2,28,71) = 3976 / 2
LCM(2,28,71) = 1988
Lets's calculate GCF of 982,737,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1988/1
Therefore the LCM of Fractions 2/982,28/737,71/615 is 1988
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 982,737,615 . The biggest common factor number is the GCF number.
So the greatest common factor 982,737,615 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 2/982, 28/737, 71/615?
Answer: LCM of Numerators as per given numbers 2/982, 28/737, 71/615 is
LCM of Numerators i.e. for 2,28,71 is 1988
GCF of denominators i.e. for 982,737,615 is 1.
Thus, LCM of Fractions is 1988.Finally, LCM of Fractions for 2/982, 28/737, 71/615 is 1988.