Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 470/559, 2180/274 quickly i.e. 102460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 470/559, 2180/274 is 102460.
LCM(470/559, 2180/274) = 102460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 470/559,2180/274
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 470,2180
Least Common Multiple of Numerators i.e. LCM of 470,2180 is 102460.
GCF of Denominators means GCF of 559,274 as per the given fractions.
GCF of 559,274 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 470,2180
2 | 470, 2180 |
5 | 235, 1090 |
47, 218 |
∴ So the LCM of the given numbers is 2 x 5 x 47 x 218 = 102460
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 470,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,2180) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(470,2180) x common factors =10 x 1 = 10
LCM(470,2180) = ( 470 × 2180 ) / 10
LCM(470,2180) = 1024600 / 10
LCM(470,2180) = 102460
Lets's calculate GCF of 559,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102460/1
Therefore the LCM of Fractions 470/559,2180/274 is 102460
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 559,274 . The biggest common factor number is the GCF number.
So the greatest common factor 559,274 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 470/559, 2180/274?
Answer: LCM of Numerators as per given numbers 470/559, 2180/274 is
LCM of Numerators i.e. for 470,2180 is 102460
GCF of denominators i.e. for 559,274 is 1.
Thus, LCM of Fractions is 102460.Finally, LCM of Fractions for 470/559, 2180/274 is 102460.