Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 745/21, 369/52, 866/41 quickly i.e. 238067730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 745/21, 369/52, 866/41 is 238067730.
LCM(745/21, 369/52, 866/41) = 238067730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 745/21,369/52,866/41
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 745,369,866
Least Common Multiple of Numerators i.e. LCM of 745,369,866 is 238067730.
GCF of Denominators means GCF of 21,52,41 as per the given fractions.
GCF of 21,52,41 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 745,369,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 238067730
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 745,369,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,369,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,369,866) x common factors =1 x 1 = 1
LCM(745,369,866) = ( 745 × 369 × 866 ) / 1
LCM(745,369,866) = 238067730 / 1
LCM(745,369,866) = 238067730
Lets's calculate GCF of 21,52,41
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238067730/1
Therefore the LCM of Fractions 745/21,369/52,866/41 is 238067730
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Greatest Common Factor
We found the factors 21,52,41 . The biggest common factor number is the GCF number.
So the greatest common factor 21,52,41 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 745/21, 369/52, 866/41?
Answer: LCM of Numerators as per given numbers 745/21, 369/52, 866/41 is
LCM of Numerators i.e. for 745,369,866 is 238067730
GCF of denominators i.e. for 21,52,41 is 1.
Thus, LCM of Fractions is 238067730.Finally, LCM of Fractions for 745/21, 369/52, 866/41 is 238067730.