Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 134/494, 4331/510 quickly i.e. 290177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 134/494, 4331/510 is 290177.
LCM(134/494, 4331/510) = 290177
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 134/494,4331/510
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 134,4331
Least Common Multiple of Numerators i.e. LCM of 134,4331 is 580354.
GCF of Denominators means GCF of 494,510 as per the given fractions.
GCF of 494,510 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 134,4331
Given numbers has no common factors except 1. So, there LCM is their product i.e 580354
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 134,4331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,4331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,4331) x common factors =1 x 1 = 1
LCM(134,4331) = ( 134 × 4331 ) / 1
LCM(134,4331) = 580354 / 1
LCM(134,4331) = 580354
Lets's calculate GCF of 494,510
2 | 494, 510 |
247, 255 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580354/2
Therefore the LCM of Fractions 134/494,4331/510 is 290177
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 494,510 . The biggest common factor number is the GCF number.
So the greatest common factor 494,510 is 2.
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 134/494, 4331/510?
Answer: LCM of Numerators as per given numbers 134/494, 4331/510 is
LCM of Numerators i.e. for 134,4331 is 580354
GCF of denominators i.e. for 494,510 is 2.
Thus, LCM of Fractions is 290177.Finally, LCM of Fractions for 134/494, 4331/510 is 290177.