Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 584/614, 1748/590 quickly i.e. 127604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 584/614, 1748/590 is 127604.
LCM(584/614, 1748/590) = 127604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 584/614,1748/590
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 584,1748
Least Common Multiple of Numerators i.e. LCM of 584,1748 is 255208.
GCF of Denominators means GCF of 614,590 as per the given fractions.
GCF of 614,590 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 584,1748
2 | 584, 1748 |
2 | 292, 874 |
146, 437 |
∴ So the LCM of the given numbers is 2 x 2 x 146 x 437 = 255208
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 584,1748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,1748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(584,1748) x common factors =4 x 1 = 4
LCM(584,1748) = ( 584 × 1748 ) / 4
LCM(584,1748) = 1020832 / 4
LCM(584,1748) = 255208
Lets's calculate GCF of 614,590
2 | 614, 590 |
307, 295 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255208/2
Therefore the LCM of Fractions 584/614,1748/590 is 127604
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 614,590 . The biggest common factor number is the GCF number.
So the greatest common factor 614,590 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 584/614, 1748/590?
Answer: LCM of Numerators as per given numbers 584/614, 1748/590 is
LCM of Numerators i.e. for 584,1748 is 255208
GCF of denominators i.e. for 614,590 is 2.
Thus, LCM of Fractions is 127604.Finally, LCM of Fractions for 584/614, 1748/590 is 127604.