Given numbers are 258,381,626,642,702

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

The LCM of 258,381,626,642,702 is 128391834402.

Find LCM of 258,381,626,642,702 with Prime Factorization

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

2 x 3 x 43 x 127 x 313 x 107 x 117 = 128391834402

Therefore, the lowest common multiple of 258,381,626,642,702 is 128391834402.

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.

258 x 381 x 626 x 642 x 702 = 27732636230832

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.

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

381 : 1, 3, 127, 381

626 : 1, 2, 313, 626

642 : 1, 2, 3, 6, 107, 214, 321, 642

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,381,626,642,702, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

381:3x 127

626:2x 313

642:2x 3x 107

702:2x 3x 3x 3x 13

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 27732636230832/(1x216)

LCM = 27732636230832/216

LCM = 128391834402

Thus, we can understand that the LCM of 258,381,626,642,702 is 128391834402.

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

• LCM of 179, 730, 524, 750, 177
• LCM of 529, 944, 501, 262, 231
• LCM of 552, 698, 170, 278, 213
• LCM of 912, 126, 334, 958, 270
• LCM of 550, 557, 920, 899, 595

1. What is the LCM of 258, 381, 626, 642, 702?

Answer: LCM of 258, 381, 626, 642, 702 is 128391834402.

2. How to calculate the LCM of 258, 381, 626, 642, 702?

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 258, 381, 626, 642, 702.

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}.