Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 500/365, 4215/7336 quickly i.e. 421500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 500/365, 4215/7336 is 421500.
LCM(500/365, 4215/7336) = 421500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 500/365,4215/7336
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 500,4215
Least Common Multiple of Numerators i.e. LCM of 500,4215 is 421500.
GCF of Denominators means GCF of 365,7336 as per the given fractions.
GCF of 365,7336 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 500,4215
5 | 500, 4215 |
100, 843 |
∴ So the LCM of the given numbers is 5 x 100 x 843 = 421500
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 500,4215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,4215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(500,4215) x common factors =5 x 1 = 5
LCM(500,4215) = ( 500 × 4215 ) / 5
LCM(500,4215) = 2107500 / 5
LCM(500,4215) = 421500
Lets's calculate GCF of 365,7336
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421500/1
Therefore the LCM of Fractions 500/365,4215/7336 is 421500
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 7336
List of positive integer factors of 7336 that divides 7336 without a remainder.
1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Greatest Common Factor
We found the factors 365,7336 . The biggest common factor number is the GCF number.
So the greatest common factor 365,7336 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 500/365, 4215/7336?
Answer: LCM of Numerators as per given numbers 500/365, 4215/7336 is
LCM of Numerators i.e. for 500,4215 is 421500
GCF of denominators i.e. for 365,7336 is 1.
Thus, LCM of Fractions is 421500.Finally, LCM of Fractions for 500/365, 4215/7336 is 421500.