Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/36, 36/720, 319/638 quickly i.e. 109098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/36, 36/720, 319/638 is 109098.
LCM(57/36, 36/720, 319/638) = 109098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/36,36/720,319/638
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 57,36,319
Least Common Multiple of Numerators i.e. LCM of 57,36,319 is 218196.
GCF of Denominators means GCF of 36,720,638 as per the given fractions.
GCF of 36,720,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,36,319
3 | 57, 36, 319 |
19, 12, 319 |
∴ So the LCM of the given numbers is 3 x 19 x 12 x 319 = 218196
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 57,36,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,36,319) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,36,319) x common factors =1 x 3 = 3
LCM(57,36,319) = ( 57 × 36 × 319 ) / 3
LCM(57,36,319) = 654588 / 3
LCM(57,36,319) = 218196
Lets's calculate GCF of 36,720,638
2 | 36, 720, 638 |
18, 360, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218196/2
Therefore the LCM of Fractions 57/36,36/720,319/638 is 109098
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 36,720,638 . The biggest common factor number is the GCF number.
So the greatest common factor 36,720,638 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 57/36, 36/720, 319/638?
Answer: LCM of Numerators as per given numbers 57/36, 36/720, 319/638 is
LCM of Numerators i.e. for 57,36,319 is 218196
GCF of denominators i.e. for 36,720,638 is 2.
Thus, LCM of Fractions is 109098.Finally, LCM of Fractions for 57/36, 36/720, 319/638 is 109098.