Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 891/39, 715/5380 quickly i.e. 57915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 891/39, 715/5380 is 57915.
LCM(891/39, 715/5380) = 57915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 891/39,715/5380
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 891,715
Least Common Multiple of Numerators i.e. LCM of 891,715 is 57915.
GCF of Denominators means GCF of 39,5380 as per the given fractions.
GCF of 39,5380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 891,715
11 | 891, 715 |
81, 65 |
∴ So the LCM of the given numbers is 11 x 81 x 65 = 57915
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 891,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,715) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(891,715) x common factors =11 x 1 = 11
LCM(891,715) = ( 891 × 715 ) / 11
LCM(891,715) = 637065 / 11
LCM(891,715) = 57915
Lets's calculate GCF of 39,5380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57915/1
Therefore the LCM of Fractions 891/39,715/5380 is 57915
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 5380
List of positive integer factors of 5380 that divides 5380 without a remainder.
1,2,4,5,10,20,269,538,1076,1345,2690,5380
Greatest Common Factor
We found the factors 39,5380 . The biggest common factor number is the GCF number.
So the greatest common factor 39,5380 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 891/39, 715/5380?
Answer: LCM of Numerators as per given numbers 891/39, 715/5380 is
LCM of Numerators i.e. for 891,715 is 57915
GCF of denominators i.e. for 39,5380 is 1.
Thus, LCM of Fractions is 57915.Finally, LCM of Fractions for 891/39, 715/5380 is 57915.