Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/973, 446/916, 660/600 quickly i.e. 2502060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/973, 446/916, 660/600 is 2502060.
LCM(68/973, 446/916, 660/600) = 2502060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/973,446/916,660/600
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 68,446,660
Least Common Multiple of Numerators i.e. LCM of 68,446,660 is 2502060.
GCF of Denominators means GCF of 973,916,600 as per the given fractions.
GCF of 973,916,600 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,446,660
2 | 68, 446, 660 |
2 | 34, 223, 330 |
17, 223, 165 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 223 x 165 = 2502060
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 68,446,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,446,660) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(68,446,660) x common factors =2 x 4 = 8
LCM(68,446,660) = ( 68 × 446 × 660 ) / 8
LCM(68,446,660) = 20016480 / 8
LCM(68,446,660) = 2502060
Lets's calculate GCF of 973,916,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2502060/1
Therefore the LCM of Fractions 68/973,446/916,660/600 is 2502060
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 973,916,600 . The biggest common factor number is the GCF number.
So the greatest common factor 973,916,600 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 68/973, 446/916, 660/600?
Answer: LCM of Numerators as per given numbers 68/973, 446/916, 660/600 is
LCM of Numerators i.e. for 68,446,660 is 2502060
GCF of denominators i.e. for 973,916,600 is 1.
Thus, LCM of Fractions is 2502060.Finally, LCM of Fractions for 68/973, 446/916, 660/600 is 2502060.