Least Common Multiple of 496/13, 551/3248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 496/13, 551/3248 quickly i.e. 273296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/13, 551/3248 is 273296.

LCM(496/13, 551/3248) = 273296

LCM of 496/13, 551/3248

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 496/13,551/3248

Given numbers are 496/13,551/3248

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 496,551

Least Common Multiple of Numerators i.e. LCM of 496,551 is 273296.

GCF of Denominators means GCF of 13,3248 as per the given fractions.

GCF of 13,3248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,551

LCM of Fractions 496/13,551/3248 is 273296

Given numbers has no common factors except 1. So, there LCM is their product i.e 273296

Least Common Multiple of 496,551 with GCF Formula

Least Common Multiple of 496,551 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 496,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,551) = 1

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

GCF(496,551) x common factors =1 x 1 = 1

LCM(496,551) = ( 496 × 551 ) / 1

LCM(496,551) = 273296 / 1

LCM(496,551) = 273296


Lets's calculate GCF of 13,3248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273296/1

Therefore the LCM of Fractions 496/13,551/3248 is 273296

Greatest Common Factor of 13,3248 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,3248 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors 13,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 13,3248 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 496/13, 551/3248

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 496/13, 551/3248?

Answer: LCM of Numerators as per given numbers 496/13, 551/3248 is

LCM of Numerators i.e. for 496,551 is 273296

GCF of denominators i.e. for 13,3248 is 1.

Thus, LCM of Fractions is 273296.Finally, LCM of Fractions for 496/13, 551/3248 is 273296.