Given numbers are 915,405,840,538,920

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

The LCM of 915,405,840,538,920 is 8559590760.

Find LCM of 915,405,840,538,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 61 x 27 x 7 x 269 x 23 = 8559590760

Therefore, the lowest common multiple of 915,405,840,538,920 is 8559590760.

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.

915 x 405 x 840 x 538 x 920 = 154072633680000

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

538 : 1, 2, 269, 538

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,405,840,538,920, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

405:3x 3x 3x 3x 5

840:2x 2x 2x 3x 5x 7

538:2x 269

920:2x 2x 2x 5x 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 2x 3x 3x 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 154072633680000/(1x18000)

LCM = 154072633680000/18000

LCM = 8559590760

Thus, we can understand that the LCM of 915,405,840,538,920 is 8559590760.

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

• LCM of 336, 705, 661, 812, 581
• LCM of 897, 804, 395, 356, 140
• LCM of 496, 337, 367, 848, 345
• LCM of 206, 907, 568, 643, 567
• LCM of 614, 507, 200, 434, 143

1. What is the LCM of 915, 405, 840, 538, 920?

Answer: LCM of 915, 405, 840, 538, 920 is 8559590760.

2. How to calculate the LCM of 915, 405, 840, 538, 920?

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 915, 405, 840, 538, 920.

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}.