Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 819/368, 210/611, 936/200 quickly i.e. 32760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 819/368, 210/611, 936/200 is 32760.
LCM(819/368, 210/611, 936/200) = 32760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 819/368,210/611,936/200
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 819,210,936
Least Common Multiple of Numerators i.e. LCM of 819,210,936 is 32760.
GCF of Denominators means GCF of 368,611,200 as per the given fractions.
GCF of 368,611,200 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 819,210,936
2 | 819, 210, 936 |
3 | 819, 105, 468 |
3 | 273, 35, 156 |
7 | 91, 35, 52 |
13 | 13, 5, 52 |
1, 5, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 13 x 1 x 5 x 4 = 32760
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 819,210,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,210,936) = 3
common factors(in case of two or more numbers have common factors) = 1638
GCF(819,210,936) x common factors =3 x 1638 = 4914
LCM(819,210,936) = ( 819 × 210 × 936 ) / 4914
LCM(819,210,936) = 160982640 / 4914
LCM(819,210,936) = 32760
Lets's calculate GCF of 368,611,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32760/1
Therefore the LCM of Fractions 819/368,210/611,936/200 is 32760
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 368,611,200 . The biggest common factor number is the GCF number.
So the greatest common factor 368,611,200 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 819/368, 210/611, 936/200?
Answer: LCM of Numerators as per given numbers 819/368, 210/611, 936/200 is
LCM of Numerators i.e. for 819,210,936 is 32760
GCF of denominators i.e. for 368,611,200 is 1.
Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 819/368, 210/611, 936/200 is 32760.