Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/184, 48/751, 919/929 quickly i.e. 3484848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/184, 48/751, 919/929 is 3484848.
LCM(79/184, 48/751, 919/929) = 3484848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/184,48/751,919/929
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 79,48,919
Least Common Multiple of Numerators i.e. LCM of 79,48,919 is 3484848.
GCF of Denominators means GCF of 184,751,929 as per the given fractions.
GCF of 184,751,929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,48,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 3484848
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 79,48,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,48,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,48,919) x common factors =1 x 1 = 1
LCM(79,48,919) = ( 79 × 48 × 919 ) / 1
LCM(79,48,919) = 3484848 / 1
LCM(79,48,919) = 3484848
Lets's calculate GCF of 184,751,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3484848/1
Therefore the LCM of Fractions 79/184,48/751,919/929 is 3484848
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 184,751,929 . The biggest common factor number is the GCF number.
So the greatest common factor 184,751,929 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 79/184, 48/751, 919/929?
Answer: LCM of Numerators as per given numbers 79/184, 48/751, 919/929 is
LCM of Numerators i.e. for 79,48,919 is 3484848
GCF of denominators i.e. for 184,751,929 is 1.
Thus, LCM of Fractions is 3484848.Finally, LCM of Fractions for 79/184, 48/751, 919/929 is 3484848.