Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/73, 153/62, 401/768 quickly i.e. 1779237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/73, 153/62, 401/768 is 1779237.
LCM(29/73, 153/62, 401/768) = 1779237
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/73,153/62,401/768
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 29,153,401
Least Common Multiple of Numerators i.e. LCM of 29,153,401 is 1779237.
GCF of Denominators means GCF of 73,62,768 as per the given fractions.
GCF of 73,62,768 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,153,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 1779237
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 29,153,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,153,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,153,401) x common factors =1 x 1 = 1
LCM(29,153,401) = ( 29 × 153 × 401 ) / 1
LCM(29,153,401) = 1779237 / 1
LCM(29,153,401) = 1779237
Lets's calculate GCF of 73,62,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1779237/1
Therefore the LCM of Fractions 29/73,153/62,401/768 is 1779237
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 73,62,768 . The biggest common factor number is the GCF number.
So the greatest common factor 73,62,768 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 29/73, 153/62, 401/768?
Answer: LCM of Numerators as per given numbers 29/73, 153/62, 401/768 is
LCM of Numerators i.e. for 29,153,401 is 1779237
GCF of denominators i.e. for 73,62,768 is 1.
Thus, LCM of Fractions is 1779237.Finally, LCM of Fractions for 29/73, 153/62, 401/768 is 1779237.