Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/502, 52/816, 586/434 quickly i.e. 373282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/502, 52/816, 586/434 is 373282.
LCM(98/502, 52/816, 586/434) = 373282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/502,52/816,586/434
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 98,52,586
Least Common Multiple of Numerators i.e. LCM of 98,52,586 is 746564.
GCF of Denominators means GCF of 502,816,434 as per the given fractions.
GCF of 502,816,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,52,586
2 | 98, 52, 586 |
49, 26, 293 |
∴ So the LCM of the given numbers is 2 x 49 x 26 x 293 = 746564
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 98,52,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,52,586) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,52,586) x common factors =2 x 2 = 4
LCM(98,52,586) = ( 98 × 52 × 586 ) / 4
LCM(98,52,586) = 2986256 / 4
LCM(98,52,586) = 746564
Lets's calculate GCF of 502,816,434
2 | 502, 816, 434 |
251, 408, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 746564/2
Therefore the LCM of Fractions 98/502,52/816,586/434 is 373282
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 502,816,434 . The biggest common factor number is the GCF number.
So the greatest common factor 502,816,434 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 98/502, 52/816, 586/434?
Answer: LCM of Numerators as per given numbers 98/502, 52/816, 586/434 is
LCM of Numerators i.e. for 98,52,586 is 746564
GCF of denominators i.e. for 502,816,434 is 2.
Thus, LCM of Fractions is 373282.Finally, LCM of Fractions for 98/502, 52/816, 586/434 is 373282.