Given numbers are 420,255,566,258,609

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

The LCM of 420,255,566,258,609 is 2519713140.

Find LCM of 420,255,566,258,609 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 17 x 283 x 43 x 29 = 2519713140

Therefore, the lowest common multiple of 420,255,566,258,609 is 2519713140.

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.

420 x 255 x 566 x 258 x 609 = 9524515669200

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

255 : 1, 3, 5, 15, 17, 51, 85, 255

566 : 1, 2, 283, 566

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,255,566,258,609, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

255:3x 5x 17

566:2x 283

258:2x 3x 43

609:3x 7x 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 3x 3x 3x 5x 7 = 3780

Therefore, the value for common factors is 3780.

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 = 9524515669200/(1x3780)

LCM = 9524515669200/3780

LCM = 2519713140

Thus, we can understand that the LCM of 420,255,566,258,609 is 2519713140.

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

• LCM of 331, 465, 702, 480, 939
• LCM of 786, 570, 896, 717, 715
• LCM of 102, 780, 167, 546, 229
• LCM of 332, 595, 563, 642, 481
• LCM of 536, 455, 539, 232, 724

1. What is the LCM of 420, 255, 566, 258, 609?

Answer: LCM of 420, 255, 566, 258, 609 is 2519713140.

2. How to calculate the LCM of 420, 255, 566, 258, 609?

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 420, 255, 566, 258, 609.

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}.