Given numbers are 417,249,391,414

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

The LCM of 417,249,391,414 is 81197406.

Find LCM of 417,249,391,414 with Prime Factorization

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

3 x 23 x 139 x 83 x 17 x 6 = 81197406

Therefore, the lowest common multiple of 417,249,391,414 is 81197406.

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.

417 x 249 x 391 x 414 = 16807863042

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.

417 : 1, 3, 139, 417

249 : 1, 3, 83, 249

391 : 1, 17, 23, 391

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,249,391,414, is 1.

Now, the common factors can be found like this.

417:3x 139

249:3x 83

391:17x 23

414:2x 3x 3x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 16807863042/(1x207)

LCM = 16807863042/207

LCM = 81197406

Thus, we can understand that the LCM of 417,249,391,414 is 81197406.

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

• LCM of 601, 723, 817, 732
• LCM of 434, 762, 616, 732
• LCM of 455, 541, 913, 654
• LCM of 537, 998, 926, 970
• LCM of 308, 174, 681, 695

1. What is the LCM of 417, 249, 391, 414?

Answer: LCM of 417, 249, 391, 414 is 81197406.

2. How to calculate the LCM of 417, 249, 391, 414?

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 417, 249, 391, 414.

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}.