Given numbers are 494,413,406,354

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

The LCM of 494,413,406,354 is 17749914.

Find LCM of 494,413,406,354 with Prime Factorization

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

2 x 7 x 59 x 247 x 1 x 29 x 3 = 17749914

Therefore, the lowest common multiple of 494,413,406,354 is 17749914.

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.

494 x 413 x 406 x 354 = 29322857928

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

413 : 1, 7, 59, 413

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,413,406,354, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

413:7x 59

406:2x 7x 29

354:2x 3x 59

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

2x 2x 7x 59 = 1652

Therefore, the value for common factors is 1652.

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 = 29322857928/(1x1652)

LCM = 29322857928/1652

LCM = 17749914

Thus, we can understand that the LCM of 494,413,406,354 is 17749914.

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

• LCM of 549, 766, 545, 154
• LCM of 205, 595, 672, 479
• LCM of 553, 648, 834, 209
• LCM of 142, 348, 101, 857
• LCM of 447, 896, 647, 525

1. What is the LCM of 494, 413, 406, 354?

Answer: LCM of 494, 413, 406, 354 is 17749914.

2. How to calculate the LCM of 494, 413, 406, 354?

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 494, 413, 406, 354.

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}.