Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/645, 4466/915 quickly i.e. 263494/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/645, 4466/915 is 263494/15.
LCM(118/645, 4466/915) = 263494/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/645,4466/915
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 118,4466
Least Common Multiple of Numerators i.e. LCM of 118,4466 is 263494.
GCF of Denominators means GCF of 645,915 as per the given fractions.
GCF of 645,915 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,4466
2 | 118, 4466 |
59, 2233 |
∴ So the LCM of the given numbers is 2 x 59 x 2233 = 263494
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 118,4466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,4466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,4466) x common factors =2 x 1 = 2
LCM(118,4466) = ( 118 × 4466 ) / 2
LCM(118,4466) = 526988 / 2
LCM(118,4466) = 263494
Lets's calculate GCF of 645,915
3 | 645, 915 |
5 | 215, 305 |
43, 61 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263494/15
Therefore the LCM of Fractions 118/645,4466/915 is 263494/15
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 645,915 . The biggest common factor number is the GCF number.
So the greatest common factor 645,915 is 15.
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 118/645, 4466/915?
Answer: LCM of Numerators as per given numbers 118/645, 4466/915 is
LCM of Numerators i.e. for 118,4466 is 263494
GCF of denominators i.e. for 645,915 is 15.
Thus, LCM of Fractions is 263494/15.Finally, LCM of Fractions for 118/645, 4466/915 is 263494/15.