Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/83, 193/62, 720/980 quickly i.e. 416880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/83, 193/62, 720/980 is 416880.
LCM(27/83, 193/62, 720/980) = 416880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/83,193/62,720/980
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 27,193,720
Least Common Multiple of Numerators i.e. LCM of 27,193,720 is 416880.
GCF of Denominators means GCF of 83,62,980 as per the given fractions.
GCF of 83,62,980 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,193,720
3 | 27, 193, 720 |
3 | 9, 193, 240 |
3, 193, 80 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 193 x 80 = 416880
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 27,193,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,193,720) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(27,193,720) x common factors =1 x 9 = 9
LCM(27,193,720) = ( 27 × 193 × 720 ) / 9
LCM(27,193,720) = 3751920 / 9
LCM(27,193,720) = 416880
Lets's calculate GCF of 83,62,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416880/1
Therefore the LCM of Fractions 27/83,193/62,720/980 is 416880
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 83,62,980 . The biggest common factor number is the GCF number.
So the greatest common factor 83,62,980 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 27/83, 193/62, 720/980?
Answer: LCM of Numerators as per given numbers 27/83, 193/62, 720/980 is
LCM of Numerators i.e. for 27,193,720 is 416880
GCF of denominators i.e. for 83,62,980 is 1.
Thus, LCM of Fractions is 416880.Finally, LCM of Fractions for 27/83, 193/62, 720/980 is 416880.