Given numbers are 413,220,319,974

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

The LCM of 413,220,319,974 is 1283215780.

Find LCM of 413,220,319,974 with Prime Factorization

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

2 x 11 x 413 x 10 x 29 x 487 = 1283215780

Therefore, the lowest common multiple of 413,220,319,974 is 1283215780.

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.

413 x 220 x 319 x 974 = 28230747160

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.

413 : 1, 7, 59, 413

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

319 : 1, 11, 29, 319

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,220,319,974, is 1.

Now, the common factors can be found like this.

413:7x 59

220:2x 2x 5x 11

319:11x 29

974:2x 487

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 28230747160/(1x22)

LCM = 28230747160/22

LCM = 1283215780

Thus, we can understand that the LCM of 413,220,319,974 is 1283215780.

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

• LCM of 428, 515, 154, 729
• LCM of 299, 931, 968, 538
• LCM of 350, 559, 563, 633
• LCM of 474, 620, 341, 200
• LCM of 597, 686, 503, 507

1. What is the LCM of 413, 220, 319, 974?

Answer: LCM of 413, 220, 319, 974 is 1283215780.

2. How to calculate the LCM of 413, 220, 319, 974?

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 413, 220, 319, 974.

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}.