Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 307/422, 128/500 quickly i.e. 19648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 307/422, 128/500 is 19648.
LCM(307/422, 128/500) = 19648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 307/422,128/500
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 307,128
Least Common Multiple of Numerators i.e. LCM of 307,128 is 39296.
GCF of Denominators means GCF of 422,500 as per the given fractions.
GCF of 422,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 307,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 39296
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 307,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,128) x common factors =1 x 1 = 1
LCM(307,128) = ( 307 × 128 ) / 1
LCM(307,128) = 39296 / 1
LCM(307,128) = 39296
Lets's calculate GCF of 422,500
2 | 422, 500 |
211, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39296/2
Therefore the LCM of Fractions 307/422,128/500 is 19648
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 422,500 . The biggest common factor number is the GCF number.
So the greatest common factor 422,500 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 307/422, 128/500?
Answer: LCM of Numerators as per given numbers 307/422, 128/500 is
LCM of Numerators i.e. for 307,128 is 39296
GCF of denominators i.e. for 422,500 is 2.
Thus, LCM of Fractions is 19648.Finally, LCM of Fractions for 307/422, 128/500 is 19648.