Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 373/22, 578/19, 922/83 quickly i.e. 99388834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 373/22, 578/19, 922/83 is 99388834.
LCM(373/22, 578/19, 922/83) = 99388834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 373/22,578/19,922/83
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 373,578,922
Least Common Multiple of Numerators i.e. LCM of 373,578,922 is 99388834.
GCF of Denominators means GCF of 22,19,83 as per the given fractions.
GCF of 22,19,83 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 373,578,922
2 | 373, 578, 922 |
373, 289, 461 |
∴ So the LCM of the given numbers is 2 x 373 x 289 x 461 = 99388834
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 373,578,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,578,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(373,578,922) x common factors =1 x 2 = 2
LCM(373,578,922) = ( 373 × 578 × 922 ) / 2
LCM(373,578,922) = 198777668 / 2
LCM(373,578,922) = 99388834
Lets's calculate GCF of 22,19,83
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99388834/1
Therefore the LCM of Fractions 373/22,578/19,922/83 is 99388834
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Greatest Common Factor
We found the factors 22,19,83 . The biggest common factor number is the GCF number.
So the greatest common factor 22,19,83 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 373/22, 578/19, 922/83?
Answer: LCM of Numerators as per given numbers 373/22, 578/19, 922/83 is
LCM of Numerators i.e. for 373,578,922 is 99388834
GCF of denominators i.e. for 22,19,83 is 1.
Thus, LCM of Fractions is 99388834.Finally, LCM of Fractions for 373/22, 578/19, 922/83 is 99388834.