Least Common Multiple of 333/49, 251/8249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 333/49, 251/8249 quickly i.e. 83583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/49, 251/8249 is 83583.

LCM(333/49, 251/8249) = 83583

LCM of 333/49, 251/8249

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 333/49,251/8249

Given numbers are 333/49,251/8249

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 333,251

Least Common Multiple of Numerators i.e. LCM of 333,251 is 83583.

GCF of Denominators means GCF of 49,8249 as per the given fractions.

GCF of 49,8249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,251

LCM of Fractions 333/49,251/8249 is 83583

Given numbers has no common factors except 1. So, there LCM is their product i.e 83583

Least Common Multiple of 333,251 with GCF Formula

Least Common Multiple of 333,251 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 333,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,251) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(333,251) x common factors =1 x 1 = 1

LCM(333,251) = ( 333 × 251 ) / 1

LCM(333,251) = 83583 / 1

LCM(333,251) = 83583


Lets's calculate GCF of 49,8249

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83583/1

Therefore the LCM of Fractions 333/49,251/8249 is 83583

Greatest Common Factor of 49,8249 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,8249 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1,73,113,8249

Greatest Common Factor

We found the factors 49,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 49,8249 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 333/49, 251/8249

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 333/49, 251/8249?

Answer: LCM of Numerators as per given numbers 333/49, 251/8249 is

LCM of Numerators i.e. for 333,251 is 83583

GCF of denominators i.e. for 49,8249 is 1.

Thus, LCM of Fractions is 83583.Finally, LCM of Fractions for 333/49, 251/8249 is 83583.