Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/993, 32/900, 658/826 quickly i.e. 389536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/993, 32/900, 658/826 is 389536.
LCM(74/993, 32/900, 658/826) = 389536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/993,32/900,658/826
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 74,32,658
Least Common Multiple of Numerators i.e. LCM of 74,32,658 is 389536.
GCF of Denominators means GCF of 993,900,826 as per the given fractions.
GCF of 993,900,826 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,32,658
2 | 74, 32, 658 |
37, 16, 329 |
∴ So the LCM of the given numbers is 2 x 37 x 16 x 329 = 389536
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 74,32,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,32,658) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,32,658) x common factors =2 x 2 = 4
LCM(74,32,658) = ( 74 × 32 × 658 ) / 4
LCM(74,32,658) = 1558144 / 4
LCM(74,32,658) = 389536
Lets's calculate GCF of 993,900,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389536/1
Therefore the LCM of Fractions 74/993,32/900,658/826 is 389536
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 993,900,826 . The biggest common factor number is the GCF number.
So the greatest common factor 993,900,826 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 74/993, 32/900, 658/826?
Answer: LCM of Numerators as per given numbers 74/993, 32/900, 658/826 is
LCM of Numerators i.e. for 74,32,658 is 389536
GCF of denominators i.e. for 993,900,826 is 1.
Thus, LCM of Fractions is 389536.Finally, LCM of Fractions for 74/993, 32/900, 658/826 is 389536.