Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 269/20, 3334/982 quickly i.e. 448423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 269/20, 3334/982 is 448423.
LCM(269/20, 3334/982) = 448423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 269/20,3334/982
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 269,3334
Least Common Multiple of Numerators i.e. LCM of 269,3334 is 896846.
GCF of Denominators means GCF of 20,982 as per the given fractions.
GCF of 20,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 269,3334
Given numbers has no common factors except 1. So, there LCM is their product i.e 896846
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 269,3334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,3334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,3334) x common factors =1 x 1 = 1
LCM(269,3334) = ( 269 × 3334 ) / 1
LCM(269,3334) = 896846 / 1
LCM(269,3334) = 896846
Lets's calculate GCF of 20,982
2 | 20, 982 |
10, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896846/2
Therefore the LCM of Fractions 269/20,3334/982 is 448423
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
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 20,982 . The biggest common factor number is the GCF number.
So the greatest common factor 20,982 is 2.
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 269/20, 3334/982?
Answer: LCM of Numerators as per given numbers 269/20, 3334/982 is
LCM of Numerators i.e. for 269,3334 is 896846
GCF of denominators i.e. for 20,982 is 2.
Thus, LCM of Fractions is 448423.Finally, LCM of Fractions for 269/20, 3334/982 is 448423.