Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 470/671, 893/913 quickly i.e. 8930/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 470/671, 893/913 is 8930/11.
LCM(470/671, 893/913) = 8930/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 470/671,893/913
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 470,893
Least Common Multiple of Numerators i.e. LCM of 470,893 is 8930.
GCF of Denominators means GCF of 671,913 as per the given fractions.
GCF of 671,913 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 470,893
47 | 470, 893 |
10, 19 |
∴ So the LCM of the given numbers is 47 x 10 x 19 = 8930
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 470,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,893) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(470,893) x common factors =47 x 1 = 47
LCM(470,893) = ( 470 × 893 ) / 47
LCM(470,893) = 419710 / 47
LCM(470,893) = 8930
Lets's calculate GCF of 671,913
11 | 671, 913 |
61, 83 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8930/11
Therefore the LCM of Fractions 470/671,893/913 is 8930/11
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 671,913 . The biggest common factor number is the GCF number.
So the greatest common factor 671,913 is 11.
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 470/671, 893/913?
Answer: LCM of Numerators as per given numbers 470/671, 893/913 is
LCM of Numerators i.e. for 470,893 is 8930
GCF of denominators i.e. for 671,913 is 11.
Thus, LCM of Fractions is 8930/11.Finally, LCM of Fractions for 470/671, 893/913 is 8930/11.