Given numbers are 576,138,987,299,580

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

The LCM of 576,138,987,299,580 is 8215945920.

Find LCM of 576,138,987,299,580 with Prime Factorization

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

2 x 2 x 3 x 23 x 48 x 1 x 329 x 13 x 145 = 8215945920

Therefore, the lowest common multiple of 576,138,987,299,580 is 8215945920.

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.

576 x 138 x 987 x 299 x 580 = 13605606443520

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

987 : 1, 3, 7, 21, 47, 141, 329, 987

299 : 1, 13, 23, 299

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,138,987,299,580, is 1.

Now, the common factors can be found like this.

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

138:2x 3x 23

987:3x 7x 47

299:13x 23

580:2x 2x 5x 29

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 13605606443520/(1x1656)

LCM = 13605606443520/1656

LCM = 8215945920

Thus, we can understand that the LCM of 576,138,987,299,580 is 8215945920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 819, 168, 928, 591, 910
• LCM of 484, 792, 970, 956, 970
• LCM of 743, 919, 723, 361, 492
• LCM of 562, 928, 170, 800, 791
• LCM of 738, 858, 501, 213, 961

1. What is the LCM of 576, 138, 987, 299, 580?

Answer: LCM of 576, 138, 987, 299, 580 is 8215945920.

2. How to calculate the LCM of 576, 138, 987, 299, 580?

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 576, 138, 987, 299, 580.

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}.