Least Common Multiple of 288/57, 426/2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/57, 426/2496 quickly i.e. 6816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/57, 426/2496 is 6816.

LCM(288/57, 426/2496) = 6816

LCM of 288/57, 426/2496

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 288/57,426/2496

Given numbers are 288/57,426/2496

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 288,426

Least Common Multiple of Numerators i.e. LCM of 288,426 is 20448.

GCF of Denominators means GCF of 57,2496 as per the given fractions.

GCF of 57,2496 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,426

LCM of Fractions 288/57,426/2496 is 6816

2 288, 426
3 144, 213
48, 71

∴ So the LCM of the given numbers is 2 x 3 x 48 x 71 = 20448

Least Common Multiple of 288,426 with GCF Formula

Least Common Multiple of 288,426 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 288,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,426) = 6

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

GCF(288,426) x common factors =6 x 1 = 6

LCM(288,426) = ( 288 × 426 ) / 6

LCM(288,426) = 122688 / 6

LCM(288,426) = 20448


Lets's calculate GCF of 57,2496

3 57, 2496
19, 832

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20448/3

Therefore the LCM of Fractions 288/57,426/2496 is 6816

Greatest Common Factor of 57,2496 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2496 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Greatest Common Factor

We found the factors 57,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2496 is 3.


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 288/57, 426/2496

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 288/57, 426/2496?

Answer: LCM of Numerators as per given numbers 288/57, 426/2496 is

LCM of Numerators i.e. for 288,426 is 20448

GCF of denominators i.e. for 57,2496 is 3.

Thus, LCM of Fractions is 6816.Finally, LCM of Fractions for 288/57, 426/2496 is 6816.