Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 498/351, 8550/3269 quickly i.e. 709650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 498/351, 8550/3269 is 709650.
LCM(498/351, 8550/3269) = 709650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 498/351,8550/3269
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 498,8550
Least Common Multiple of Numerators i.e. LCM of 498,8550 is 709650.
GCF of Denominators means GCF of 351,3269 as per the given fractions.
GCF of 351,3269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 498,8550
2 | 498, 8550 |
3 | 249, 4275 |
83, 1425 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 1425 = 709650
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 498,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,8550) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,8550) x common factors =6 x 1 = 6
LCM(498,8550) = ( 498 × 8550 ) / 6
LCM(498,8550) = 4257900 / 6
LCM(498,8550) = 709650
Lets's calculate GCF of 351,3269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 709650/1
Therefore the LCM of Fractions 498/351,8550/3269 is 709650
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 3269
List of positive integer factors of 3269 that divides 3269 without a remainder.
1,7,467,3269
Greatest Common Factor
We found the factors 351,3269 . The biggest common factor number is the GCF number.
So the greatest common factor 351,3269 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 498/351, 8550/3269?
Answer: LCM of Numerators as per given numbers 498/351, 8550/3269 is
LCM of Numerators i.e. for 498,8550 is 709650
GCF of denominators i.e. for 351,3269 is 1.
Thus, LCM of Fractions is 709650.Finally, LCM of Fractions for 498/351, 8550/3269 is 709650.