Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 315/14, 584/67, 343/494 quickly i.e. 9014040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 315/14, 584/67, 343/494 is 9014040.
LCM(315/14, 584/67, 343/494) = 9014040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 315/14,584/67,343/494
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 315,584,343
Least Common Multiple of Numerators i.e. LCM of 315,584,343 is 9014040.
GCF of Denominators means GCF of 14,67,494 as per the given fractions.
GCF of 14,67,494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 315,584,343
7 | 315, 584, 343 |
45, 584, 49 |
∴ So the LCM of the given numbers is 7 x 45 x 584 x 49 = 9014040
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 315,584,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,584,343) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(315,584,343) x common factors =1 x 7 = 7
LCM(315,584,343) = ( 315 × 584 × 343 ) / 7
LCM(315,584,343) = 63098280 / 7
LCM(315,584,343) = 9014040
Lets's calculate GCF of 14,67,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9014040/1
Therefore the LCM of Fractions 315/14,584/67,343/494 is 9014040
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 14,67,494 . The biggest common factor number is the GCF number.
So the greatest common factor 14,67,494 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 315/14, 584/67, 343/494?
Answer: LCM of Numerators as per given numbers 315/14, 584/67, 343/494 is
LCM of Numerators i.e. for 315,584,343 is 9014040
GCF of denominators i.e. for 14,67,494 is 1.
Thus, LCM of Fractions is 9014040.Finally, LCM of Fractions for 315/14, 584/67, 343/494 is 9014040.