Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 268/614, 7292/508 quickly i.e. 244282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 268/614, 7292/508 is 244282.
LCM(268/614, 7292/508) = 244282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 268/614,7292/508
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 268,7292
Least Common Multiple of Numerators i.e. LCM of 268,7292 is 488564.
GCF of Denominators means GCF of 614,508 as per the given fractions.
GCF of 614,508 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 268,7292
2 | 268, 7292 |
2 | 134, 3646 |
67, 1823 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1823 = 488564
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 268,7292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,7292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,7292) x common factors =4 x 1 = 4
LCM(268,7292) = ( 268 × 7292 ) / 4
LCM(268,7292) = 1954256 / 4
LCM(268,7292) = 488564
Lets's calculate GCF of 614,508
2 | 614, 508 |
307, 254 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488564/2
Therefore the LCM of Fractions 268/614,7292/508 is 244282
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Greatest Common Factor
We found the factors 614,508 . The biggest common factor number is the GCF number.
So the greatest common factor 614,508 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 268/614, 7292/508?
Answer: LCM of Numerators as per given numbers 268/614, 7292/508 is
LCM of Numerators i.e. for 268,7292 is 488564
GCF of denominators i.e. for 614,508 is 2.
Thus, LCM of Fractions is 244282.Finally, LCM of Fractions for 268/614, 7292/508 is 244282.