Given numbers are 575,540,207,896,138

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

The LCM of 575,540,207,896,138 is 13910400.

Find LCM of 575,540,207,896,138 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 5 x 3 x 1 x 224 x 1 = 13910400

Therefore, the lowest common multiple of 575,540,207,896,138 is 13910400.

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.

575 x 540 x 207 x 896 x 138 = 7947289728000

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.

575 : 1, 5, 23, 25, 115, 575

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

207 : 1, 3, 9, 23, 69, 207

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,540,207,896,138, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

540:2x 2x 3x 3x 3x 5

207:3x 3x 23

896:2x 2x 2x 2x 2x 2x 2x 7

138:2x 3x 23

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 3x 5x 23x 23 = 571320

Therefore, the value for common factors is 571320.

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 = 7947289728000/(1x571320)

LCM = 7947289728000/571320

LCM = 13910400

Thus, we can understand that the LCM of 575,540,207,896,138 is 13910400.

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

• LCM of 326, 440, 339, 811, 997
• LCM of 526, 760, 340, 784, 173
• LCM of 258, 803, 879, 260, 882
• LCM of 444, 912, 640, 671, 601
• LCM of 108, 321, 806, 796, 521

1. What is the LCM of 575, 540, 207, 896, 138?

Answer: LCM of 575, 540, 207, 896, 138 is 13910400.

2. How to calculate the LCM of 575, 540, 207, 896, 138?

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 575, 540, 207, 896, 138.

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}.