Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 604/910, 1678/291 quickly i.e. 506756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 604/910, 1678/291 is 506756.
LCM(604/910, 1678/291) = 506756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 604/910,1678/291
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 604,1678
Least Common Multiple of Numerators i.e. LCM of 604,1678 is 506756.
GCF of Denominators means GCF of 910,291 as per the given fractions.
GCF of 910,291 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 604,1678
2 | 604, 1678 |
302, 839 |
∴ So the LCM of the given numbers is 2 x 302 x 839 = 506756
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 604,1678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,1678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,1678) x common factors =2 x 1 = 2
LCM(604,1678) = ( 604 × 1678 ) / 2
LCM(604,1678) = 1013512 / 2
LCM(604,1678) = 506756
Lets's calculate GCF of 910,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506756/1
Therefore the LCM of Fractions 604/910,1678/291 is 506756
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 910,291 . The biggest common factor number is the GCF number.
So the greatest common factor 910,291 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 604/910, 1678/291?
Answer: LCM of Numerators as per given numbers 604/910, 1678/291 is
LCM of Numerators i.e. for 604,1678 is 506756
GCF of denominators i.e. for 910,291 is 1.
Thus, LCM of Fractions is 506756.Finally, LCM of Fractions for 604/910, 1678/291 is 506756.