Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 843/83, 493/64, 150/392 quickly i.e. 20779950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 843/83, 493/64, 150/392 is 20779950.
LCM(843/83, 493/64, 150/392) = 20779950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 843/83,493/64,150/392
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 843,493,150
Least Common Multiple of Numerators i.e. LCM of 843,493,150 is 20779950.
GCF of Denominators means GCF of 83,64,392 as per the given fractions.
GCF of 83,64,392 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 843,493,150
3 | 843, 493, 150 |
281, 493, 50 |
∴ So the LCM of the given numbers is 3 x 281 x 493 x 50 = 20779950
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 843,493,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,493,150) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(843,493,150) x common factors =1 x 3 = 3
LCM(843,493,150) = ( 843 × 493 × 150 ) / 3
LCM(843,493,150) = 62339850 / 3
LCM(843,493,150) = 20779950
Lets's calculate GCF of 83,64,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20779950/1
Therefore the LCM of Fractions 843/83,493/64,150/392 is 20779950
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 83,64,392 . The biggest common factor number is the GCF number.
So the greatest common factor 83,64,392 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 843/83, 493/64, 150/392?
Answer: LCM of Numerators as per given numbers 843/83, 493/64, 150/392 is
LCM of Numerators i.e. for 843,493,150 is 20779950
GCF of denominators i.e. for 83,64,392 is 1.
Thus, LCM of Fractions is 20779950.Finally, LCM of Fractions for 843/83, 493/64, 150/392 is 20779950.