Given numbers are 258,409,282,758,621

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

The LCM of 258,409,282,758,621 is 389090320902.

Find LCM of 258,409,282,758,621 with Prime Factorization

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

2 x 3 x 43 x 409 x 47 x 379 x 207 = 389090320902

Therefore, the lowest common multiple of 258,409,282,758,621 is 389090320902.

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 409 x 282 x 758 x 621 = 14007251552472

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

409 : 1, 409

282 : 1, 2, 3, 6, 47, 94, 141, 282

758 : 1, 2, 379, 758

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,409,282,758,621, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

409:409

282:2x 3x 47

758:2x 379

621:3x 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.

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14007251552472/(1x36)

LCM = 14007251552472/36

LCM = 389090320902

Thus, we can understand that the LCM of 258,409,282,758,621 is 389090320902.

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

• LCM of 674, 670, 752, 519, 583
• LCM of 363, 439, 100, 280, 821
• LCM of 705, 129, 422, 786, 359
• LCM of 982, 691, 696, 752, 598
• LCM of 240, 128, 952, 124, 327

1. What is the LCM of 258, 409, 282, 758, 621?

Answer: LCM of 258, 409, 282, 758, 621 is 389090320902.

2. How to calculate the LCM of 258, 409, 282, 758, 621?

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, 409, 282, 758, 621.

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}.