Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/817, 269/355, 893/466 quickly i.e. 4804340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/817, 269/355, 893/466 is 4804340.
LCM(20/817, 269/355, 893/466) = 4804340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/817,269/355,893/466
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 20,269,893
Least Common Multiple of Numerators i.e. LCM of 20,269,893 is 4804340.
GCF of Denominators means GCF of 817,355,466 as per the given fractions.
GCF of 817,355,466 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,269,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 4804340
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 20,269,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,269,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,269,893) x common factors =1 x 1 = 1
LCM(20,269,893) = ( 20 × 269 × 893 ) / 1
LCM(20,269,893) = 4804340 / 1
LCM(20,269,893) = 4804340
Lets's calculate GCF of 817,355,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4804340/1
Therefore the LCM of Fractions 20/817,269/355,893/466 is 4804340
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 817,355,466 . The biggest common factor number is the GCF number.
So the greatest common factor 817,355,466 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 20/817, 269/355, 893/466?
Answer: LCM of Numerators as per given numbers 20/817, 269/355, 893/466 is
LCM of Numerators i.e. for 20,269,893 is 4804340
GCF of denominators i.e. for 817,355,466 is 1.
Thus, LCM of Fractions is 4804340.Finally, LCM of Fractions for 20/817, 269/355, 893/466 is 4804340.