Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/220, 46/945, 973/923 quickly i.e. 1521772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/220, 46/945, 973/923 is 1521772.
LCM(68/220, 46/945, 973/923) = 1521772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/220,46/945,973/923
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 68,46,973
Least Common Multiple of Numerators i.e. LCM of 68,46,973 is 1521772.
GCF of Denominators means GCF of 220,945,923 as per the given fractions.
GCF of 220,945,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,46,973
2 | 68, 46, 973 |
34, 23, 973 |
∴ So the LCM of the given numbers is 2 x 34 x 23 x 973 = 1521772
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 68,46,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,46,973) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,46,973) x common factors =1 x 2 = 2
LCM(68,46,973) = ( 68 × 46 × 973 ) / 2
LCM(68,46,973) = 3043544 / 2
LCM(68,46,973) = 1521772
Lets's calculate GCF of 220,945,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1521772/1
Therefore the LCM of Fractions 68/220,46/945,973/923 is 1521772
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 220,945,923 . The biggest common factor number is the GCF number.
So the greatest common factor 220,945,923 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 68/220, 46/945, 973/923?
Answer: LCM of Numerators as per given numbers 68/220, 46/945, 973/923 is
LCM of Numerators i.e. for 68,46,973 is 1521772
GCF of denominators i.e. for 220,945,923 is 1.
Thus, LCM of Fractions is 1521772.Finally, LCM of Fractions for 68/220, 46/945, 973/923 is 1521772.