Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/26, 91/64, 515/852 quickly i.e. 187460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/26, 91/64, 515/852 is 187460.
LCM(40/26, 91/64, 515/852) = 187460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/26,91/64,515/852
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 40,91,515
Least Common Multiple of Numerators i.e. LCM of 40,91,515 is 374920.
GCF of Denominators means GCF of 26,64,852 as per the given fractions.
GCF of 26,64,852 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,91,515
5 | 40, 91, 515 |
8, 91, 103 |
∴ So the LCM of the given numbers is 5 x 8 x 91 x 103 = 374920
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 40,91,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,91,515) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(40,91,515) x common factors =1 x 5 = 5
LCM(40,91,515) = ( 40 × 91 × 515 ) / 5
LCM(40,91,515) = 1874600 / 5
LCM(40,91,515) = 374920
Lets's calculate GCF of 26,64,852
2 | 26, 64, 852 |
13, 32, 426 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374920/2
Therefore the LCM of Fractions 40/26,91/64,515/852 is 187460
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 26,64,852 . The biggest common factor number is the GCF number.
So the greatest common factor 26,64,852 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 40/26, 91/64, 515/852?
Answer: LCM of Numerators as per given numbers 40/26, 91/64, 515/852 is
LCM of Numerators i.e. for 40,91,515 is 374920
GCF of denominators i.e. for 26,64,852 is 2.
Thus, LCM of Fractions is 187460.Finally, LCM of Fractions for 40/26, 91/64, 515/852 is 187460.