Given numbers are 431,676,493,644

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

The LCM of 431,676,493,644 is 23125799788.

Find LCM of 431,676,493,644 with Prime Factorization

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

2 x 2 x 431 x 169 x 493 x 161 = 23125799788

Therefore, the lowest common multiple of 431,676,493,644 is 23125799788.

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.

431 x 676 x 493 x 644 = 92503199152

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.

431 : 1, 431

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

493 : 1, 17, 29, 493

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,676,493,644, is 1.

Now, the common factors can be found like this.

431:431

676:2x 2x 13x 13

493:17x 29

644:2x 2x 7x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 92503199152/(1x4)

LCM = 92503199152/4

LCM = 23125799788

Thus, we can understand that the LCM of 431,676,493,644 is 23125799788.

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

• LCM of 456, 593, 369, 302
• LCM of 571, 200, 266, 108
• LCM of 558, 510, 998, 429
• LCM of 420, 180, 607, 917
• LCM of 386, 395, 707, 481

1. What is the LCM of 431, 676, 493, 644?

Answer: LCM of 431, 676, 493, 644 is 23125799788.

2. How to calculate the LCM of 431, 676, 493, 644?

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 431, 676, 493, 644.

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}.