Given numbers are 409,936,460,572

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

The LCM of 409,936,460,572 is 484272360.

Find LCM of 409,936,460,572 with Prime Factorization

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

2 x 2 x 13 x 409 x 18 x 115 x 11 = 484272360

Therefore, the lowest common multiple of 409,936,460,572 is 484272360.

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.

409 x 936 x 460 x 572 = 100728650880

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.

409 : 1, 409

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,936,460,572, is 1.

Now, the common factors can be found like this.

409:409

936:2x 2x 2x 3x 3x 13

460:2x 2x 5x 23

572:2x 2x 11x 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 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 100728650880/(1x208)

LCM = 100728650880/208

LCM = 484272360

Thus, we can understand that the LCM of 409,936,460,572 is 484272360.

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

• LCM of 898, 525, 969, 394
• LCM of 150, 318, 357, 558
• LCM of 424, 642, 224, 437
• LCM of 296, 297, 878, 761
• LCM of 960, 336, 911, 912

1. What is the LCM of 409, 936, 460, 572?

Answer: LCM of 409, 936, 460, 572 is 484272360.

2. How to calculate the LCM of 409, 936, 460, 572?

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 409, 936, 460, 572.

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}.