Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 351/434, 2598/182 quickly i.e. 303966/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 351/434, 2598/182 is 303966/14.
LCM(351/434, 2598/182) = 303966/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 351/434,2598/182
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 351,2598
Least Common Multiple of Numerators i.e. LCM of 351,2598 is 303966.
GCF of Denominators means GCF of 434,182 as per the given fractions.
GCF of 434,182 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 351,2598
3 | 351, 2598 |
117, 866 |
∴ So the LCM of the given numbers is 3 x 117 x 866 = 303966
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 351,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,2598) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,2598) x common factors =3 x 1 = 3
LCM(351,2598) = ( 351 × 2598 ) / 3
LCM(351,2598) = 911898 / 3
LCM(351,2598) = 303966
Lets's calculate GCF of 434,182
2 | 434, 182 |
7 | 217, 91 |
31, 13 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303966/14
Therefore the LCM of Fractions 351/434,2598/182 is 303966/14
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 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 434,182 . The biggest common factor number is the GCF number.
So the greatest common factor 434,182 is 14.
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 351/434, 2598/182?
Answer: LCM of Numerators as per given numbers 351/434, 2598/182 is
LCM of Numerators i.e. for 351,2598 is 303966
GCF of denominators i.e. for 434,182 is 14.
Thus, LCM of Fractions is 303966/14.Finally, LCM of Fractions for 351/434, 2598/182 is 303966/14.