Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 578/434, 9977/766 quickly i.e. 2883353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 578/434, 9977/766 is 2883353.
LCM(578/434, 9977/766) = 2883353
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 578/434,9977/766
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 578,9977
Least Common Multiple of Numerators i.e. LCM of 578,9977 is 5766706.
GCF of Denominators means GCF of 434,766 as per the given fractions.
GCF of 434,766 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 578,9977
Given numbers has no common factors except 1. So, there LCM is their product i.e 5766706
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 578,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,9977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,9977) x common factors =1 x 1 = 1
LCM(578,9977) = ( 578 × 9977 ) / 1
LCM(578,9977) = 5766706 / 1
LCM(578,9977) = 5766706
Lets's calculate GCF of 434,766
2 | 434, 766 |
217, 383 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5766706/2
Therefore the LCM of Fractions 578/434,9977/766 is 2883353
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 434,766 . The biggest common factor number is the GCF number.
So the greatest common factor 434,766 is 2.
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 578/434, 9977/766?
Answer: LCM of Numerators as per given numbers 578/434, 9977/766 is
LCM of Numerators i.e. for 578,9977 is 5766706
GCF of denominators i.e. for 434,766 is 2.
Thus, LCM of Fractions is 2883353.Finally, LCM of Fractions for 578/434, 9977/766 is 2883353.