Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 460/683, 7226/375 quickly i.e. 1661980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 460/683, 7226/375 is 1661980.
LCM(460/683, 7226/375) = 1661980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 460/683,7226/375
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 460,7226
Least Common Multiple of Numerators i.e. LCM of 460,7226 is 1661980.
GCF of Denominators means GCF of 683,375 as per the given fractions.
GCF of 683,375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 460,7226
2 | 460, 7226 |
230, 3613 |
∴ So the LCM of the given numbers is 2 x 230 x 3613 = 1661980
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 460,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,7226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,7226) x common factors =2 x 1 = 2
LCM(460,7226) = ( 460 × 7226 ) / 2
LCM(460,7226) = 3323960 / 2
LCM(460,7226) = 1661980
Lets's calculate GCF of 683,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1661980/1
Therefore the LCM of Fractions 460/683,7226/375 is 1661980
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 683,375 . The biggest common factor number is the GCF number.
So the greatest common factor 683,375 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 460/683, 7226/375?
Answer: LCM of Numerators as per given numbers 460/683, 7226/375 is
LCM of Numerators i.e. for 460,7226 is 1661980
GCF of denominators i.e. for 683,375 is 1.
Thus, LCM of Fractions is 1661980.Finally, LCM of Fractions for 460/683, 7226/375 is 1661980.