Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/463, 63/949, 559/184 quickly i.e. 2606058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/463, 63/949, 559/184 is 2606058.
LCM(74/463, 63/949, 559/184) = 2606058
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/463,63/949,559/184
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 74,63,559
Least Common Multiple of Numerators i.e. LCM of 74,63,559 is 2606058.
GCF of Denominators means GCF of 463,949,184 as per the given fractions.
GCF of 463,949,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,63,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 2606058
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 74,63,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,63,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,63,559) x common factors =1 x 1 = 1
LCM(74,63,559) = ( 74 × 63 × 559 ) / 1
LCM(74,63,559) = 2606058 / 1
LCM(74,63,559) = 2606058
Lets's calculate GCF of 463,949,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2606058/1
Therefore the LCM of Fractions 74/463,63/949,559/184 is 2606058
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 463,949,184 . The biggest common factor number is the GCF number.
So the greatest common factor 463,949,184 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 74/463, 63/949, 559/184?
Answer: LCM of Numerators as per given numbers 74/463, 63/949, 559/184 is
LCM of Numerators i.e. for 74,63,559 is 2606058
GCF of denominators i.e. for 463,949,184 is 1.
Thus, LCM of Fractions is 2606058.Finally, LCM of Fractions for 74/463, 63/949, 559/184 is 2606058.