Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2180/843, 7170/787 quickly i.e. 1563060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2180/843, 7170/787 is 1563060.
LCM(2180/843, 7170/787) = 1563060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2180/843,7170/787
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 2180,7170
Least Common Multiple of Numerators i.e. LCM of 2180,7170 is 1563060.
GCF of Denominators means GCF of 843,787 as per the given fractions.
GCF of 843,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2180,7170
2 | 2180, 7170 |
5 | 1090, 3585 |
218, 717 |
∴ So the LCM of the given numbers is 2 x 5 x 218 x 717 = 1563060
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 2180,7170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2180,7170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(2180,7170) x common factors =10 x 1 = 10
LCM(2180,7170) = ( 2180 × 7170 ) / 10
LCM(2180,7170) = 15630600 / 10
LCM(2180,7170) = 1563060
Lets's calculate GCF of 843,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563060/1
Therefore the LCM of Fractions 2180/843,7170/787 is 1563060
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 843,787 . The biggest common factor number is the GCF number.
So the greatest common factor 843,787 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 2180/843, 7170/787?
Answer: LCM of Numerators as per given numbers 2180/843, 7170/787 is
LCM of Numerators i.e. for 2180,7170 is 1563060
GCF of denominators i.e. for 843,787 is 1.
Thus, LCM of Fractions is 1563060.Finally, LCM of Fractions for 2180/843, 7170/787 is 1563060.