Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 338/178, 260/466, 612/509 quickly i.e. 517140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 338/178, 260/466, 612/509 is 517140.
LCM(338/178, 260/466, 612/509) = 517140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 338/178,260/466,612/509
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 338,260,612
Least Common Multiple of Numerators i.e. LCM of 338,260,612 is 517140.
GCF of Denominators means GCF of 178,466,509 as per the given fractions.
GCF of 178,466,509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 338,260,612
2 | 338, 260, 612 |
2 | 169, 130, 306 |
13 | 169, 65, 153 |
13, 5, 153 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 13 x 5 x 153 = 517140
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 338,260,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,260,612) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(338,260,612) x common factors =2 x 52 = 104
LCM(338,260,612) = ( 338 × 260 × 612 ) / 104
LCM(338,260,612) = 53782560 / 104
LCM(338,260,612) = 517140
Lets's calculate GCF of 178,466,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517140/1
Therefore the LCM of Fractions 338/178,260/466,612/509 is 517140
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 178,466,509 . The biggest common factor number is the GCF number.
So the greatest common factor 178,466,509 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 338/178, 260/466, 612/509?
Answer: LCM of Numerators as per given numbers 338/178, 260/466, 612/509 is
LCM of Numerators i.e. for 338,260,612 is 517140
GCF of denominators i.e. for 178,466,509 is 1.
Thus, LCM of Fractions is 517140.Finally, LCM of Fractions for 338/178, 260/466, 612/509 is 517140.