Least Common Multiple of 5049/494, 2272/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5049/494, 2272/335 quickly i.e. 11471328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5049/494, 2272/335 is 11471328.

LCM(5049/494, 2272/335) = 11471328

LCM of 5049/494, 2272/335

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 5049/494,2272/335

Given numbers are 5049/494,2272/335

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 5049,2272

Least Common Multiple of Numerators i.e. LCM of 5049,2272 is 11471328.

GCF of Denominators means GCF of 494,335 as per the given fractions.

GCF of 494,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5049,2272

LCM of Fractions 5049/494,2272/335 is 11471328

Given numbers has no common factors except 1. So, there LCM is their product i.e 11471328

Least Common Multiple of 5049,2272 with GCF Formula

Least Common Multiple of 5049,2272 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 5049,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5049,2272) = 1

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

GCF(5049,2272) x common factors =1 x 1 = 1

LCM(5049,2272) = ( 5049 × 2272 ) / 1

LCM(5049,2272) = 11471328 / 1

LCM(5049,2272) = 11471328


Lets's calculate GCF of 494,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11471328/1

Therefore the LCM of Fractions 5049/494,2272/335 is 11471328

Greatest Common Factor of 494,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,335 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 494,335 . The biggest common factor number is the GCF number.
So the greatest common factor 494,335 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5049/494, 2272/335

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 5049/494, 2272/335?

Answer: LCM of Numerators as per given numbers 5049/494, 2272/335 is

LCM of Numerators i.e. for 5049,2272 is 11471328

GCF of denominators i.e. for 494,335 is 1.

Thus, LCM of Fractions is 11471328.Finally, LCM of Fractions for 5049/494, 2272/335 is 11471328.