Given numbers are 478,910,374,258,493

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

The LCM of 478,910,374,258,493 is 152148826830.

Find LCM of 478,910,374,258,493 with Prime Factorization

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

2 x 17 x 239 x 455 x 11 x 129 x 29 = 152148826830

Therefore, the lowest common multiple of 478,910,374,258,493 is 152148826830.

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.

478 x 910 x 374 x 258 x 493 = 20692240448880

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.

478 : 1, 2, 239, 478

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

374 : 1, 2, 11, 17, 22, 34, 187, 374

258 : 1, 2, 3, 6, 43, 86, 129, 258

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,910,374,258,493, is 1.

Now, the common factors can be found like this.

478:2x 239

910:2x 5x 7x 13

374:2x 11x 17

258:2x 3x 43

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.

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 20692240448880/(1x136)

LCM = 20692240448880/136

LCM = 152148826830

Thus, we can understand that the LCM of 478,910,374,258,493 is 152148826830.

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

• LCM of 827, 160, 570, 769, 254
• LCM of 965, 563, 155, 262, 327
• LCM of 494, 123, 960, 869, 364
• LCM of 795, 600, 920, 780, 617
• LCM of 852, 518, 553, 783, 247

1. What is the LCM of 478, 910, 374, 258, 493?

Answer: LCM of 478, 910, 374, 258, 493 is 152148826830.

2. How to calculate the LCM of 478, 910, 374, 258, 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 478, 910, 374, 258, 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}.