Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/481, 319/702, 720/982 quickly i.e. 229680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/481, 319/702, 720/982 is 229680.
LCM(11/481, 319/702, 720/982) = 229680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/481,319/702,720/982
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 11,319,720
Least Common Multiple of Numerators i.e. LCM of 11,319,720 is 229680.
GCF of Denominators means GCF of 481,702,982 as per the given fractions.
GCF of 481,702,982 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,319,720
11 | 11, 319, 720 |
1, 29, 720 |
∴ So the LCM of the given numbers is 11 x 1 x 29 x 720 = 229680
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 11,319,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,319,720) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(11,319,720) x common factors =1 x 11 = 11
LCM(11,319,720) = ( 11 × 319 × 720 ) / 11
LCM(11,319,720) = 2526480 / 11
LCM(11,319,720) = 229680
Lets's calculate GCF of 481,702,982
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229680/1
Therefore the LCM of Fractions 11/481,319/702,720/982 is 229680
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 481,702,982 . The biggest common factor number is the GCF number.
So the greatest common factor 481,702,982 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 11/481, 319/702, 720/982?
Answer: LCM of Numerators as per given numbers 11/481, 319/702, 720/982 is
LCM of Numerators i.e. for 11,319,720 is 229680
GCF of denominators i.e. for 481,702,982 is 1.
Thus, LCM of Fractions is 229680.Finally, LCM of Fractions for 11/481, 319/702, 720/982 is 229680.