Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4135/128, 5114/204 quickly i.e. 21146390/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4135/128, 5114/204 is 21146390/4.
LCM(4135/128, 5114/204) = 21146390/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4135/128,5114/204
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 4135,5114
Least Common Multiple of Numerators i.e. LCM of 4135,5114 is 21146390.
GCF of Denominators means GCF of 128,204 as per the given fractions.
GCF of 128,204 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4135,5114
Given numbers has no common factors except 1. So, there LCM is their product i.e 21146390
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 4135,5114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4135,5114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4135,5114) x common factors =1 x 1 = 1
LCM(4135,5114) = ( 4135 × 5114 ) / 1
LCM(4135,5114) = 21146390 / 1
LCM(4135,5114) = 21146390
Lets's calculate GCF of 128,204
2 | 128, 204 |
2 | 64, 102 |
32, 51 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21146390/4
Therefore the LCM of Fractions 4135/128,5114/204 is 21146390/4
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 128,204 . The biggest common factor number is the GCF number.
So the greatest common factor 128,204 is 4.
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 4135/128, 5114/204?
Answer: LCM of Numerators as per given numbers 4135/128, 5114/204 is
LCM of Numerators i.e. for 4135,5114 is 21146390
GCF of denominators i.e. for 128,204 is 4.
Thus, LCM of Fractions is 21146390/4.Finally, LCM of Fractions for 4135/128, 5114/204 is 21146390/4.