Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/87, 643/65, 581/370 quickly i.e. 29886640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/87, 643/65, 581/370 is 29886640.
LCM(80/87, 643/65, 581/370) = 29886640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/87,643/65,581/370
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 80,643,581
Least Common Multiple of Numerators i.e. LCM of 80,643,581 is 29886640.
GCF of Denominators means GCF of 87,65,370 as per the given fractions.
GCF of 87,65,370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,643,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 29886640
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 80,643,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,643,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,643,581) x common factors =1 x 1 = 1
LCM(80,643,581) = ( 80 × 643 × 581 ) / 1
LCM(80,643,581) = 29886640 / 1
LCM(80,643,581) = 29886640
Lets's calculate GCF of 87,65,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29886640/1
Therefore the LCM of Fractions 80/87,643/65,581/370 is 29886640
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 87,65,370 . The biggest common factor number is the GCF number.
So the greatest common factor 87,65,370 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 80/87, 643/65, 581/370?
Answer: LCM of Numerators as per given numbers 80/87, 643/65, 581/370 is
LCM of Numerators i.e. for 80,643,581 is 29886640
GCF of denominators i.e. for 87,65,370 is 1.
Thus, LCM of Fractions is 29886640.Finally, LCM of Fractions for 80/87, 643/65, 581/370 is 29886640.