Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/583, 994/839, 294/244 quickly i.e. 834960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/583, 994/839, 294/244 is 834960.
LCM(80/583, 994/839, 294/244) = 834960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/583,994/839,294/244
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 80,994,294
Least Common Multiple of Numerators i.e. LCM of 80,994,294 is 834960.
GCF of Denominators means GCF of 583,839,244 as per the given fractions.
GCF of 583,839,244 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,994,294
2 | 80, 994, 294 |
7 | 40, 497, 147 |
40, 71, 21 |
∴ So the LCM of the given numbers is 2 x 7 x 40 x 71 x 21 = 834960
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 80,994,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,994,294) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(80,994,294) x common factors =2 x 14 = 28
LCM(80,994,294) = ( 80 × 994 × 294 ) / 28
LCM(80,994,294) = 23378880 / 28
LCM(80,994,294) = 834960
Lets's calculate GCF of 583,839,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 834960/1
Therefore the LCM of Fractions 80/583,994/839,294/244 is 834960
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 583,839,244 . The biggest common factor number is the GCF number.
So the greatest common factor 583,839,244 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 80/583, 994/839, 294/244?
Answer: LCM of Numerators as per given numbers 80/583, 994/839, 294/244 is
LCM of Numerators i.e. for 80,994,294 is 834960
GCF of denominators i.e. for 583,839,244 is 1.
Thus, LCM of Fractions is 834960.Finally, LCM of Fractions for 80/583, 994/839, 294/244 is 834960.