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LCM of 399, 576, 228, 517

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


Find the LCM of 399, 576, 228, 517 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 399, 576, 228, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,576,228,517

Given numbers are 399,576,228,517

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

The LCM of 399,576,228,517 is 39606336.

Find LCM of 399,576,228,517 with Prime Factorization


2 399, 576, 228, 517
2 399, 288, 114, 517
3 399, 144, 57, 517
19 133, 48, 19, 517
7, 48, 1, 517

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

2 x 2 x 3 x 19 x 7 x 48 x 1 x 517 = 39606336

Therefore, the lowest common multiple of 399,576,228,517 is 39606336.

LCM Formula to Find Lowest Common Multiple of 399,576,228,517

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.

399 x 576 x 228 x 517 = 27090733824

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,576,228,517, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

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

228:2x 2x 3x 19

517:11x 47

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 3x 3x 19 = 684

Therefore, the value for common factors is 684.

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 = 27090733824/(1x684)

LCM = 27090733824/684

LCM = 39606336

Thus, we can understand that the LCM of 399,576,228,517 is 39606336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 576, 228, 517

1. What is the LCM of 399, 576, 228, 517?

Answer: LCM of 399, 576, 228, 517 is 39606336.

2. How to calculate the LCM of 399, 576, 228, 517?

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 399, 576, 228, 517.

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}.