Given numbers are 406,642,467,423

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

The LCM of 406,642,467,423 is 8581576122.

Find LCM of 406,642,467,423 with Prime Factorization

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

2 x 3 x 203 x 107 x 467 x 141 = 8581576122

Therefore, the lowest common multiple of 406,642,467,423 is 8581576122.

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.

406 x 642 x 467 x 423 = 51489456732

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

642 : 1, 2, 3, 6, 107, 214, 321, 642

467 : 1, 467

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,642,467,423, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

642:2x 3x 107

467:467

423:3x 3x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 51489456732/(1x6)

LCM = 51489456732/6

LCM = 8581576122

Thus, we can understand that the LCM of 406,642,467,423 is 8581576122.

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

• LCM of 315, 782, 383, 994
• LCM of 638, 819, 277, 746
• LCM of 463, 596, 705, 796
• LCM of 887, 812, 671, 389
• LCM of 819, 544, 660, 490

1. What is the LCM of 406, 642, 467, 423?

Answer: LCM of 406, 642, 467, 423 is 8581576122.

2. How to calculate the LCM of 406, 642, 467, 423?

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 406, 642, 467, 423.

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}.