Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/37, 39/15, 57/86, 45/278 quickly i.e. 455715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/37, 39/15, 57/86, 45/278 is 455715.
LCM(41/37, 39/15, 57/86, 45/278) = 455715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/37,39/15,57/86,45/278
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 41,39,57,45
Least Common Multiple of Numerators i.e. LCM of 41,39,57,45 is 455715.
GCF of Denominators means GCF of 37,15,86,278 as per the given fractions.
GCF of 37,15,86,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,39,57,45
3 | 41, 39, 57, 45 |
41, 13, 19, 15 |
∴ So the LCM of the given numbers is 3 x 41 x 13 x 19 x 15 = 455715
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 41,39,57,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,39,57,45) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(41,39,57,45) x common factors =1 x 9 = 9
LCM(41,39,57,45) = ( 41 × 39 × 57 × 45 ) / 9
LCM(41,39,57,45) = 4101435 / 9
LCM(41,39,57,45) = 455715
Lets's calculate GCF of 37,15,86,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455715/1
Therefore the LCM of Fractions 41/37,39/15,57/86,45/278 is 455715
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 37,15,86,278 . The biggest common factor number is the GCF number.
So the greatest common factor 37,15,86,278 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 41/37, 39/15, 57/86, 45/278?
Answer: LCM of Numerators as per given numbers 41/37, 39/15, 57/86, 45/278 is
LCM of Numerators i.e. for 41,39,57,45 is 455715
GCF of denominators i.e. for 37,15,86,278 is 1.
Thus, LCM of Fractions is 455715.Finally, LCM of Fractions for 41/37, 39/15, 57/86, 45/278 is 455715.