Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/460, 1046/273 quickly i.e. 996838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/460, 1046/273 is 996838.
LCM(953/460, 1046/273) = 996838
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/460,1046/273
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 953,1046
Least Common Multiple of Numerators i.e. LCM of 953,1046 is 996838.
GCF of Denominators means GCF of 460,273 as per the given fractions.
GCF of 460,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,1046
Given numbers has no common factors except 1. So, there LCM is their product i.e 996838
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 953,1046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,1046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,1046) x common factors =1 x 1 = 1
LCM(953,1046) = ( 953 × 1046 ) / 1
LCM(953,1046) = 996838 / 1
LCM(953,1046) = 996838
Lets's calculate GCF of 460,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996838/1
Therefore the LCM of Fractions 953/460,1046/273 is 996838
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 460,273 . The biggest common factor number is the GCF number.
So the greatest common factor 460,273 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 953/460, 1046/273?
Answer: LCM of Numerators as per given numbers 953/460, 1046/273 is
LCM of Numerators i.e. for 953,1046 is 996838
GCF of denominators i.e. for 460,273 is 1.
Thus, LCM of Fractions is 996838.Finally, LCM of Fractions for 953/460, 1046/273 is 996838.