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LCM of 884, 605, 287, 299, 272

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 884, 605, 287, 299, 272 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 884, 605, 287, 299, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,605,287,299,272

Given numbers are 884,605,287,299,272

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 884,605,287,299,272 is 14121387280.

Find LCM of 884,605,287,299,272 with Prime Factorization


2 884, 605, 287, 299, 272
2 442, 605, 287, 299, 136
13 221, 605, 287, 299, 68
17 17, 605, 287, 23, 68
1, 605, 287, 23, 4

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 13 x 17 x 1 x 605 x 287 x 23 x 4 = 14121387280

Therefore, the lowest common multiple of 884,605,287,299,272 is 14121387280.

LCM Formula to Find Lowest Common Multiple of 884,605,287,299,272

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

884 x 605 x 287 x 299 x 272 = 12483306355520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

605 : 1, 5, 11, 55, 121, 605

287 : 1, 7, 41, 287

299 : 1, 13, 23, 299

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,605,287,299,272, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

605:5x 11x 11

287:7x 41

299:13x 23

272:2x 2x 2x 2x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 13x 17 = 884

Therefore, the value for common factors is 884.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12483306355520/(1x884)

LCM = 12483306355520/884

LCM = 14121387280

Thus, we can understand that the LCM of 884,605,287,299,272 is 14121387280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 605, 287, 299, 272

1. What is the LCM of 884, 605, 287, 299, 272?

Answer: LCM of 884, 605, 287, 299, 272 is 14121387280.

2. How to calculate the LCM of 884, 605, 287, 299, 272?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 884, 605, 287, 299, 272.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.