Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/601, 661/79, 441/800 quickly i.e. 1457505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/601, 661/79, 441/800 is 1457505.
LCM(15/601, 661/79, 441/800) = 1457505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/601,661/79,441/800
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 15,661,441
Least Common Multiple of Numerators i.e. LCM of 15,661,441 is 1457505.
GCF of Denominators means GCF of 601,79,800 as per the given fractions.
GCF of 601,79,800 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,661,441
3 | 15, 661, 441 |
5, 661, 147 |
∴ So the LCM of the given numbers is 3 x 5 x 661 x 147 = 1457505
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 15,661,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,661,441) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,661,441) x common factors =1 x 3 = 3
LCM(15,661,441) = ( 15 × 661 × 441 ) / 3
LCM(15,661,441) = 4372515 / 3
LCM(15,661,441) = 1457505
Lets's calculate GCF of 601,79,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1457505/1
Therefore the LCM of Fractions 15/601,661/79,441/800 is 1457505
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 601,79,800 . The biggest common factor number is the GCF number.
So the greatest common factor 601,79,800 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 15/601, 661/79, 441/800?
Answer: LCM of Numerators as per given numbers 15/601, 661/79, 441/800 is
LCM of Numerators i.e. for 15,661,441 is 1457505
GCF of denominators i.e. for 601,79,800 is 1.
Thus, LCM of Fractions is 1457505.Finally, LCM of Fractions for 15/601, 661/79, 441/800 is 1457505.