Given numbers are 928,201,279,165,509

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

The LCM of 928,201,279,165,509 is 485632176480.

Find LCM of 928,201,279,165,509 with Prime Factorization

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

3 x 928 x 67 x 93 x 55 x 509 = 485632176480

Therefore, the lowest common multiple of 928,201,279,165,509 is 485632176480.

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.

928 x 201 x 279 x 165 x 509 = 4370689588320

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

201 : 1, 3, 67, 201

279 : 1, 3, 9, 31, 93, 279

165 : 1, 3, 5, 11, 15, 33, 55, 165

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,201,279,165,509, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

201:3x 67

279:3x 3x 31

165:3x 5x 11

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 4370689588320/(1x9)

LCM = 4370689588320/9

LCM = 485632176480

Thus, we can understand that the LCM of 928,201,279,165,509 is 485632176480.

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

• LCM of 339, 352, 527, 317, 239
• LCM of 131, 944, 630, 253, 228
• LCM of 477, 440, 364, 493, 971
• LCM of 471, 152, 119, 670, 498
• LCM of 924, 527, 725, 522, 535

1. What is the LCM of 928, 201, 279, 165, 509?

Answer: LCM of 928, 201, 279, 165, 509 is 485632176480.

2. How to calculate the LCM of 928, 201, 279, 165, 509?

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 928, 201, 279, 165, 509.

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}.