Given numbers are 536,486,279,741,585

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

The LCM of 536,486,279,741,585 is 4986544680.

Find LCM of 536,486,279,741,585 with Prime Factorization

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

2 x 3 x 3 x 13 x 268 x 27 x 31 x 19 x 5 = 4986544680

Therefore, the lowest common multiple of 536,486,279,741,585 is 4986544680.

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.

536 x 486 x 279 x 741 x 585 = 31504989288240

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,486,279,741,585, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

486:2x 3x 3x 3x 3x 3

279:3x 3x 31

741:3x 13x 19

585:3x 3x 5x 13

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

2x 3x 3x 3x 3x 3x 13 = 6318

Therefore, the value for common factors is 6318.

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 = 31504989288240/(1x6318)

LCM = 31504989288240/6318

LCM = 4986544680

Thus, we can understand that the LCM of 536,486,279,741,585 is 4986544680.

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

• LCM of 374, 474, 123, 879, 206
• LCM of 218, 608, 275, 128, 810
• LCM of 144, 357, 261, 567, 379
• LCM of 334, 409, 308, 602, 865
• LCM of 569, 871, 882, 112, 362

1. What is the LCM of 536, 486, 279, 741, 585?

Answer: LCM of 536, 486, 279, 741, 585 is 4986544680.

2. How to calculate the LCM of 536, 486, 279, 741, 585?

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 536, 486, 279, 741, 585.

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}.