Given numbers are 574,379,272,493

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

The LCM of 574,379,272,493 is 858001424.

Find LCM of 574,379,272,493 with Prime Factorization

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

2 x 17 x 287 x 379 x 8 x 29 = 858001424

Therefore, the lowest common multiple of 574,379,272,493 is 858001424.

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.

574 x 379 x 272 x 493 = 29172048416

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

379 : 1, 379

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,379,272,493, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

379:379

272:2x 2x 2x 2x 17

493:17x 29

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 29172048416/(1x34)

LCM = 29172048416/34

LCM = 858001424

Thus, we can understand that the LCM of 574,379,272,493 is 858001424.

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

• LCM of 645, 813, 775, 429
• LCM of 651, 538, 673, 978
• LCM of 984, 377, 842, 144
• LCM of 558, 527, 613, 552
• LCM of 266, 235, 711, 362

1. What is the LCM of 574, 379, 272, 493?

Answer: LCM of 574, 379, 272, 493 is 858001424.

2. How to calculate the LCM of 574, 379, 272, 493?

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 574, 379, 272, 493.

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}.