Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/705, 6701/4534 quickly i.e. 582987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/705, 6701/4534 is 582987.
LCM(87/705, 6701/4534) = 582987
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/705,6701/4534
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 87,6701
Least Common Multiple of Numerators i.e. LCM of 87,6701 is 582987.
GCF of Denominators means GCF of 705,4534 as per the given fractions.
GCF of 705,4534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,6701
Given numbers has no common factors except 1. So, there LCM is their product i.e 582987
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 87,6701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,6701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,6701) x common factors =1 x 1 = 1
LCM(87,6701) = ( 87 × 6701 ) / 1
LCM(87,6701) = 582987 / 1
LCM(87,6701) = 582987
Lets's calculate GCF of 705,4534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582987/1
Therefore the LCM of Fractions 87/705,6701/4534 is 582987
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 4534
List of positive integer factors of 4534 that divides 4534 without a remainder.
1,2,2267,4534
Greatest Common Factor
We found the factors 705,4534 . The biggest common factor number is the GCF number.
So the greatest common factor 705,4534 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 87/705, 6701/4534?
Answer: LCM of Numerators as per given numbers 87/705, 6701/4534 is
LCM of Numerators i.e. for 87,6701 is 582987
GCF of denominators i.e. for 705,4534 is 1.
Thus, LCM of Fractions is 582987.Finally, LCM of Fractions for 87/705, 6701/4534 is 582987.