Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/990, 216/979 quickly i.e. 59832/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/990, 216/979 is 59832/11.
LCM(277/990, 216/979) = 59832/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/990,216/979
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 277,216
Least Common Multiple of Numerators i.e. LCM of 277,216 is 59832.
GCF of Denominators means GCF of 990,979 as per the given fractions.
GCF of 990,979 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 59832
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 277,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,216) x common factors =1 x 1 = 1
LCM(277,216) = ( 277 × 216 ) / 1
LCM(277,216) = 59832 / 1
LCM(277,216) = 59832
Lets's calculate GCF of 990,979
11 | 990, 979 |
90, 89 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59832/11
Therefore the LCM of Fractions 277/990,216/979 is 59832/11
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 990,979 . The biggest common factor number is the GCF number.
So the greatest common factor 990,979 is 11.
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 277/990, 216/979?
Answer: LCM of Numerators as per given numbers 277/990, 216/979 is
LCM of Numerators i.e. for 277,216 is 59832
GCF of denominators i.e. for 990,979 is 11.
Thus, LCM of Fractions is 59832/11.Finally, LCM of Fractions for 277/990, 216/979 is 59832/11.