Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 465/416, 1130/2259 quickly i.e. 105090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 465/416, 1130/2259 is 105090.
LCM(465/416, 1130/2259) = 105090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 465/416,1130/2259
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 465,1130
Least Common Multiple of Numerators i.e. LCM of 465,1130 is 105090.
GCF of Denominators means GCF of 416,2259 as per the given fractions.
GCF of 416,2259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 465,1130
5 | 465, 1130 |
93, 226 |
∴ So the LCM of the given numbers is 5 x 93 x 226 = 105090
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 465,1130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,1130) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(465,1130) x common factors =5 x 1 = 5
LCM(465,1130) = ( 465 × 1130 ) / 5
LCM(465,1130) = 525450 / 5
LCM(465,1130) = 105090
Lets's calculate GCF of 416,2259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105090/1
Therefore the LCM of Fractions 465/416,1130/2259 is 105090
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 2259
List of positive integer factors of 2259 that divides 2259 without a remainder.
1,3,9,251,753,2259
Greatest Common Factor
We found the factors 416,2259 . The biggest common factor number is the GCF number.
So the greatest common factor 416,2259 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 465/416, 1130/2259?
Answer: LCM of Numerators as per given numbers 465/416, 1130/2259 is
LCM of Numerators i.e. for 465,1130 is 105090
GCF of denominators i.e. for 416,2259 is 1.
Thus, LCM of Fractions is 105090.Finally, LCM of Fractions for 465/416, 1130/2259 is 105090.