Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 424/906, 8382/891 quickly i.e. 592328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 424/906, 8382/891 is 592328.
LCM(424/906, 8382/891) = 592328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 424/906,8382/891
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 424,8382
Least Common Multiple of Numerators i.e. LCM of 424,8382 is 1776984.
GCF of Denominators means GCF of 906,891 as per the given fractions.
GCF of 906,891 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 424,8382
2 | 424, 8382 |
212, 4191 |
∴ So the LCM of the given numbers is 2 x 212 x 4191 = 1776984
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 424,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,8382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,8382) x common factors =2 x 1 = 2
LCM(424,8382) = ( 424 × 8382 ) / 2
LCM(424,8382) = 3553968 / 2
LCM(424,8382) = 1776984
Lets's calculate GCF of 906,891
3 | 906, 891 |
302, 297 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1776984/3
Therefore the LCM of Fractions 424/906,8382/891 is 592328
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 906,891 . The biggest common factor number is the GCF number.
So the greatest common factor 906,891 is 3.
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 424/906, 8382/891?
Answer: LCM of Numerators as per given numbers 424/906, 8382/891 is
LCM of Numerators i.e. for 424,8382 is 1776984
GCF of denominators i.e. for 906,891 is 3.
Thus, LCM of Fractions is 592328.Finally, LCM of Fractions for 424/906, 8382/891 is 592328.