Given numbers are 402,218,715,432

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

The LCM of 402,218,715,432 is 2255750640.

Find LCM of 402,218,715,432 with Prime Factorization

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

2 x 3 x 67 x 109 x 715 x 72 = 2255750640

Therefore, the lowest common multiple of 402,218,715,432 is 2255750640.

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.

402 x 218 x 715 x 432 = 27069007680

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

218 : 1, 2, 109, 218

715 : 1, 5, 11, 13, 55, 65, 143, 715

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,218,715,432, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

218:2x 109

715:5x 11x 13

432:2x 2x 2x 2x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 27069007680/(1x12)

LCM = 27069007680/12

LCM = 2255750640

Thus, we can understand that the LCM of 402,218,715,432 is 2255750640.

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

• LCM of 804, 902, 150, 964
• LCM of 772, 823, 320, 872
• LCM of 277, 138, 168, 900
• LCM of 311, 637, 834, 605
• LCM of 338, 834, 496, 543

1. What is the LCM of 402, 218, 715, 432?

Answer: LCM of 402, 218, 715, 432 is 2255750640.

2. How to calculate the LCM of 402, 218, 715, 432?

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 402, 218, 715, 432.

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}.