Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/100, 46/338, 337/779 quickly i.e. 666586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/100, 46/338, 337/779 is 666586.
LCM(43/100, 46/338, 337/779) = 666586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/100,46/338,337/779
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 43,46,337
Least Common Multiple of Numerators i.e. LCM of 43,46,337 is 666586.
GCF of Denominators means GCF of 100,338,779 as per the given fractions.
GCF of 100,338,779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,46,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 666586
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 43,46,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,46,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,46,337) x common factors =1 x 1 = 1
LCM(43,46,337) = ( 43 × 46 × 337 ) / 1
LCM(43,46,337) = 666586 / 1
LCM(43,46,337) = 666586
Lets's calculate GCF of 100,338,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666586/1
Therefore the LCM of Fractions 43/100,46/338,337/779 is 666586
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 100,338,779 . The biggest common factor number is the GCF number.
So the greatest common factor 100,338,779 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 43/100, 46/338, 337/779?
Answer: LCM of Numerators as per given numbers 43/100, 46/338, 337/779 is
LCM of Numerators i.e. for 43,46,337 is 666586
GCF of denominators i.e. for 100,338,779 is 1.
Thus, LCM of Fractions is 666586.Finally, LCM of Fractions for 43/100, 46/338, 337/779 is 666586.