Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 460/502, 3155/324 quickly i.e. 145130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 460/502, 3155/324 is 145130.
LCM(460/502, 3155/324) = 145130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 460/502,3155/324
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 460,3155
Least Common Multiple of Numerators i.e. LCM of 460,3155 is 290260.
GCF of Denominators means GCF of 502,324 as per the given fractions.
GCF of 502,324 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 460,3155
5 | 460, 3155 |
92, 631 |
∴ So the LCM of the given numbers is 5 x 92 x 631 = 290260
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 460,3155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,3155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(460,3155) x common factors =5 x 1 = 5
LCM(460,3155) = ( 460 × 3155 ) / 5
LCM(460,3155) = 1451300 / 5
LCM(460,3155) = 290260
Lets's calculate GCF of 502,324
2 | 502, 324 |
251, 162 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290260/2
Therefore the LCM of Fractions 460/502,3155/324 is 145130
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 502,324 . The biggest common factor number is the GCF number.
So the greatest common factor 502,324 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 460/502, 3155/324?
Answer: LCM of Numerators as per given numbers 460/502, 3155/324 is
LCM of Numerators i.e. for 460,3155 is 290260
GCF of denominators i.e. for 502,324 is 2.
Thus, LCM of Fractions is 145130.Finally, LCM of Fractions for 460/502, 3155/324 is 145130.