Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/987, 140/613, 911/983 quickly i.e. 127540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/987, 140/613, 911/983 is 127540.
LCM(28/987, 140/613, 911/983) = 127540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/987,140/613,911/983
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 28,140,911
Least Common Multiple of Numerators i.e. LCM of 28,140,911 is 127540.
GCF of Denominators means GCF of 987,613,983 as per the given fractions.
GCF of 987,613,983 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,140,911
2 | 28, 140, 911 |
2 | 14, 70, 911 |
7 | 7, 35, 911 |
1, 5, 911 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 5 x 911 = 127540
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 28,140,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,140,911) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,140,911) x common factors =1 x 28 = 28
LCM(28,140,911) = ( 28 × 140 × 911 ) / 28
LCM(28,140,911) = 3571120 / 28
LCM(28,140,911) = 127540
Lets's calculate GCF of 987,613,983
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127540/1
Therefore the LCM of Fractions 28/987,140/613,911/983 is 127540
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Greatest Common Factor
We found the factors 987,613,983 . The biggest common factor number is the GCF number.
So the greatest common factor 987,613,983 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 28/987, 140/613, 911/983?
Answer: LCM of Numerators as per given numbers 28/987, 140/613, 911/983 is
LCM of Numerators i.e. for 28,140,911 is 127540
GCF of denominators i.e. for 987,613,983 is 1.
Thus, LCM of Fractions is 127540.Finally, LCM of Fractions for 28/987, 140/613, 911/983 is 127540.