Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/258, 482/615 quickly i.e. 67480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/258, 482/615 is 67480.
LCM(840/258, 482/615) = 67480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/258,482/615
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 840,482
Least Common Multiple of Numerators i.e. LCM of 840,482 is 202440.
GCF of Denominators means GCF of 258,615 as per the given fractions.
GCF of 258,615 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,482
2 | 840, 482 |
420, 241 |
∴ So the LCM of the given numbers is 2 x 420 x 241 = 202440
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 840,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,482) x common factors =2 x 1 = 2
LCM(840,482) = ( 840 × 482 ) / 2
LCM(840,482) = 404880 / 2
LCM(840,482) = 202440
Lets's calculate GCF of 258,615
3 | 258, 615 |
86, 205 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202440/3
Therefore the LCM of Fractions 840/258,482/615 is 67480
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 258,615 . The biggest common factor number is the GCF number.
So the greatest common factor 258,615 is 3.
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 840/258, 482/615?
Answer: LCM of Numerators as per given numbers 840/258, 482/615 is
LCM of Numerators i.e. for 840,482 is 202440
GCF of denominators i.e. for 258,615 is 3.
Thus, LCM of Fractions is 67480.Finally, LCM of Fractions for 840/258, 482/615 is 67480.