Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/415, 69/134, 785/431 quickly i.e. 1408290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/415, 69/134, 785/431 is 1408290.
LCM(26/415, 69/134, 785/431) = 1408290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/415,69/134,785/431
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 26,69,785
Least Common Multiple of Numerators i.e. LCM of 26,69,785 is 1408290.
GCF of Denominators means GCF of 415,134,431 as per the given fractions.
GCF of 415,134,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,69,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 1408290
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 26,69,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,69,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,69,785) x common factors =1 x 1 = 1
LCM(26,69,785) = ( 26 × 69 × 785 ) / 1
LCM(26,69,785) = 1408290 / 1
LCM(26,69,785) = 1408290
Lets's calculate GCF of 415,134,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1408290/1
Therefore the LCM of Fractions 26/415,69/134,785/431 is 1408290
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 415,134,431 . The biggest common factor number is the GCF number.
So the greatest common factor 415,134,431 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 26/415, 69/134, 785/431?
Answer: LCM of Numerators as per given numbers 26/415, 69/134, 785/431 is
LCM of Numerators i.e. for 26,69,785 is 1408290
GCF of denominators i.e. for 415,134,431 is 1.
Thus, LCM of Fractions is 1408290.Finally, LCM of Fractions for 26/415, 69/134, 785/431 is 1408290.