Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4025/135, 3128/866 quickly i.e. 547400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4025/135, 3128/866 is 547400.
LCM(4025/135, 3128/866) = 547400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4025/135,3128/866
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 4025,3128
Least Common Multiple of Numerators i.e. LCM of 4025,3128 is 547400.
GCF of Denominators means GCF of 135,866 as per the given fractions.
GCF of 135,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4025,3128
23 | 4025, 3128 |
175, 136 |
∴ So the LCM of the given numbers is 23 x 175 x 136 = 547400
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 4025,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4025,3128) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(4025,3128) x common factors =23 x 1 = 23
LCM(4025,3128) = ( 4025 × 3128 ) / 23
LCM(4025,3128) = 12590200 / 23
LCM(4025,3128) = 547400
Lets's calculate GCF of 135,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547400/1
Therefore the LCM of Fractions 4025/135,3128/866 is 547400
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 135,866 . The biggest common factor number is the GCF number.
So the greatest common factor 135,866 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 4025/135, 3128/866?
Answer: LCM of Numerators as per given numbers 4025/135, 3128/866 is
LCM of Numerators i.e. for 4025,3128 is 547400
GCF of denominators i.e. for 135,866 is 1.
Thus, LCM of Fractions is 547400.Finally, LCM of Fractions for 4025/135, 3128/866 is 547400.