Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/391, 6059/6785 quickly i.e. 527133/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/391, 6059/6785 is 527133/23.
LCM(87/391, 6059/6785) = 527133/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/391,6059/6785
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 87,6059
Least Common Multiple of Numerators i.e. LCM of 87,6059 is 527133.
GCF of Denominators means GCF of 391,6785 as per the given fractions.
GCF of 391,6785 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,6059
Given numbers has no common factors except 1. So, there LCM is their product i.e 527133
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 87,6059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,6059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,6059) x common factors =1 x 1 = 1
LCM(87,6059) = ( 87 × 6059 ) / 1
LCM(87,6059) = 527133 / 1
LCM(87,6059) = 527133
Lets's calculate GCF of 391,6785
23 | 391, 6785 |
17, 295 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527133/23
Therefore the LCM of Fractions 87/391,6059/6785 is 527133/23
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1,5,23,59,115,295,1357,6785
Greatest Common Factor
We found the factors 391,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 391,6785 is 23.
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 87/391, 6059/6785?
Answer: LCM of Numerators as per given numbers 87/391, 6059/6785 is
LCM of Numerators i.e. for 87,6059 is 527133
GCF of denominators i.e. for 391,6785 is 23.
Thus, LCM of Fractions is 527133/23.Finally, LCM of Fractions for 87/391, 6059/6785 is 527133/23.