Given numbers are 417,124,261,231,493

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

The LCM of 417,124,261,231,493 is 5888662164.

Find LCM of 417,124,261,231,493 with Prime Factorization

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

3 x 29 x 139 x 124 x 3 x 77 x 17 = 5888662164

Therefore, the lowest common multiple of 417,124,261,231,493 is 5888662164.

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 124 x 261 x 231 x 493 = 1536940824804

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

124 : 1, 2, 4, 31, 62, 124

261 : 1, 3, 9, 29, 87, 261

231 : 1, 3, 7, 11, 21, 33, 77, 231

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,124,261,231,493, is 1.

Now, the common factors can be found like this.

417:3x 139

124:2x 2x 31

261:3x 3x 29

231:3x 7x 11

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.

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 1536940824804/(1x261)

LCM = 1536940824804/261

LCM = 5888662164

Thus, we can understand that the LCM of 417,124,261,231,493 is 5888662164.

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

• LCM of 510, 766, 525, 990, 290
• LCM of 768, 500, 447, 985, 441
• LCM of 769, 994, 197, 941, 468
• LCM of 107, 696, 379, 343, 490
• LCM of 502, 876, 980, 671, 938

1. What is the LCM of 417, 124, 261, 231, 493?

Answer: LCM of 417, 124, 261, 231, 493 is 5888662164.

2. How to calculate the LCM of 417, 124, 261, 231, 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 417, 124, 261, 231, 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}.