Given numbers are 106,356,724,270,619

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

The LCM of 106,356,724,270,619 is 285383500020.

Find LCM of 106,356,724,270,619 with Prime Factorization

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

2 x 2 x 53 x 89 x 181 x 135 x 619 = 285383500020

Therefore, the lowest common multiple of 106,356,724,270,619 is 285383500020.

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.

106 x 356 x 724 x 270 x 619 = 4566136000320

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.

106 : 1, 2, 53, 106

356 : 1, 2, 4, 89, 178, 356

724 : 1, 2, 4, 181, 362, 724

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,356,724,270,619, is 1.

Now, the common factors can be found like this.

106:2x 53

356:2x 2x 89

724:2x 2x 181

270:2x 3x 3x 3x 5

619:619

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4566136000320/(1x16)

LCM = 4566136000320/16

LCM = 285383500020

Thus, we can understand that the LCM of 106,356,724,270,619 is 285383500020.

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

• LCM of 933, 471, 365, 871, 336
• LCM of 668, 667, 883, 871, 575
• LCM of 755, 898, 927, 833, 641
• LCM of 649, 363, 512, 884, 591
• LCM of 535, 341, 708, 927, 269

1. What is the LCM of 106, 356, 724, 270, 619?

Answer: LCM of 106, 356, 724, 270, 619 is 285383500020.

2. How to calculate the LCM of 106, 356, 724, 270, 619?

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 106, 356, 724, 270, 619.

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}.