Least Common Multiple of 498/351, 8550/3269

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

LCM of 498/351, 8550/3269

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 498/351,8550/3269

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

LCM of Fractions 498/351,8550/3269 is 709650

2 498, 8550
3 249, 4275
83, 1425

∴ So the LCM of the given numbers is 2 x 3 x 83 x 1425 = 709650

Least Common Multiple of 498,8550 with GCF Formula

Least Common Multiple of 498,8550 with GCF Formula

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

Greatest Common Factor of 351,3269 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,3269 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 498/351, 8550/3269

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.