Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 470/868, 6870/1332 quickly i.e. 322890/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 470/868, 6870/1332 is 322890/4.
LCM(470/868, 6870/1332) = 322890/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 470/868,6870/1332
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 470,6870
Least Common Multiple of Numerators i.e. LCM of 470,6870 is 322890.
GCF of Denominators means GCF of 868,1332 as per the given fractions.
GCF of 868,1332 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 470,6870
2 | 470, 6870 |
5 | 235, 3435 |
47, 687 |
∴ So the LCM of the given numbers is 2 x 5 x 47 x 687 = 322890
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 470,6870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,6870) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(470,6870) x common factors =10 x 1 = 10
LCM(470,6870) = ( 470 × 6870 ) / 10
LCM(470,6870) = 3228900 / 10
LCM(470,6870) = 322890
Lets's calculate GCF of 868,1332
2 | 868, 1332 |
2 | 434, 666 |
217, 333 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322890/4
Therefore the LCM of Fractions 470/868,6870/1332 is 322890/4
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 1332
List of positive integer factors of 1332 that divides 1332 without a remainder.
1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332
Greatest Common Factor
We found the factors 868,1332 . The biggest common factor number is the GCF number.
So the greatest common factor 868,1332 is 4.
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 470/868, 6870/1332?
Answer: LCM of Numerators as per given numbers 470/868, 6870/1332 is
LCM of Numerators i.e. for 470,6870 is 322890
GCF of denominators i.e. for 868,1332 is 4.
Thus, LCM of Fractions is 322890/4.Finally, LCM of Fractions for 470/868, 6870/1332 is 322890/4.