Given numbers are 493,466,431,578

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

The LCM of 493,466,431,578 is 1683290326.

Find LCM of 493,466,431,578 with Prime Factorization

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

2 x 17 x 29 x 233 x 431 x 17 = 1683290326

Therefore, the lowest common multiple of 493,466,431,578 is 1683290326.

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.

493 x 466 x 431 x 578 = 57231871084

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.

493 : 1, 17, 29, 493

466 : 1, 2, 233, 466

431 : 1, 431

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,466,431,578, is 1.

Now, the common factors can be found like this.

493:17x 29

466:2x 233

431:431

578:2x 17x 17

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 = 57231871084/(1x34)

LCM = 57231871084/34

LCM = 1683290326

Thus, we can understand that the LCM of 493,466,431,578 is 1683290326.

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

• LCM of 115, 994, 653, 841
• LCM of 806, 662, 912, 843
• LCM of 588, 715, 197, 910
• LCM of 261, 477, 191, 970
• LCM of 377, 978, 488, 575

1. What is the LCM of 493, 466, 431, 578?

Answer: LCM of 493, 466, 431, 578 is 1683290326.

2. How to calculate the LCM of 493, 466, 431, 578?

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 493, 466, 431, 578.

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}.