Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 332/47, 730/20, 722/779 quickly i.e. 43745980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 332/47, 730/20, 722/779 is 43745980.
LCM(332/47, 730/20, 722/779) = 43745980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 332/47,730/20,722/779
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 332,730,722
Least Common Multiple of Numerators i.e. LCM of 332,730,722 is 43745980.
GCF of Denominators means GCF of 47,20,779 as per the given fractions.
GCF of 47,20,779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 332,730,722
2 | 332, 730, 722 |
166, 365, 361 |
∴ So the LCM of the given numbers is 2 x 166 x 365 x 361 = 43745980
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 332,730,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,730,722) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(332,730,722) x common factors =2 x 2 = 4
LCM(332,730,722) = ( 332 × 730 × 722 ) / 4
LCM(332,730,722) = 174983920 / 4
LCM(332,730,722) = 43745980
Lets's calculate GCF of 47,20,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43745980/1
Therefore the LCM of Fractions 332/47,730/20,722/779 is 43745980
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
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 47,20,779 . The biggest common factor number is the GCF number.
So the greatest common factor 47,20,779 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 332/47, 730/20, 722/779?
Answer: LCM of Numerators as per given numbers 332/47, 730/20, 722/779 is
LCM of Numerators i.e. for 332,730,722 is 43745980
GCF of denominators i.e. for 47,20,779 is 1.
Thus, LCM of Fractions is 43745980.Finally, LCM of Fractions for 332/47, 730/20, 722/779 is 43745980.