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LCM of 818, 364, 576, 552, 283

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


Find the LCM of 818, 364, 576, 552, 283 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 818, 364, 576, 552, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,364,576,552,283

Given numbers are 818,364,576,552,283

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

The LCM of 818,364,576,552,283 is 139540879296.

Find LCM of 818,364,576,552,283 with Prime Factorization


2 818, 364, 576, 552, 283
2 409, 182, 288, 276, 283
2 409, 91, 144, 138, 283
3 409, 91, 72, 69, 283
409, 91, 24, 23, 283

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

2 x 2 x 2 x 3 x 409 x 91 x 24 x 23 x 283 = 139540879296

Therefore, the lowest common multiple of 818,364,576,552,283 is 139540879296.

LCM Formula to Find Lowest Common Multiple of 818,364,576,552,283

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.

818 x 364 x 576 x 552 x 283 = 26791848824832

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.

818 : 1, 2, 409, 818

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,364,576,552,283, is 1.

Now, the common factors can be found like this.

818:2x 409

364:2x 2x 7x 13

576:2x 2x 2x 2x 2x 2x 3x 3

552:2x 2x 2x 3x 23

283:283

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 26791848824832/(1x192)

LCM = 26791848824832/192

LCM = 139540879296

Thus, we can understand that the LCM of 818,364,576,552,283 is 139540879296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 364, 576, 552, 283

1. What is the LCM of 818, 364, 576, 552, 283?

Answer: LCM of 818, 364, 576, 552, 283 is 139540879296.

2. How to calculate the LCM of 818, 364, 576, 552, 283?

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 818, 364, 576, 552, 283.

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}.