Given numbers are 260,476,715,638,586

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

The LCM of 260,476,715,638,586 is 2891868980.

Find LCM of 260,476,715,638,586 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 1 x 119 x 1 x 29 x 293 = 2891868980

Therefore, the lowest common multiple of 260,476,715,638,586 is 2891868980.

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.

260 x 476 x 715 x 638 x 586 = 33082981131200

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

715 : 1, 5, 11, 13, 55, 65, 143, 715

638 : 1, 2, 11, 22, 29, 58, 319, 638

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,476,715,638,586, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

476:2x 2x 7x 17

715:5x 11x 13

638:2x 11x 29

586:2x 293

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 2x 5x 11x 13 = 11440

Therefore, the value for common factors is 11440.

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 = 33082981131200/(1x11440)

LCM = 33082981131200/11440

LCM = 2891868980

Thus, we can understand that the LCM of 260,476,715,638,586 is 2891868980.

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

• LCM of 676, 383, 280, 681, 262
• LCM of 877, 600, 988, 364, 129
• LCM of 896, 997, 154, 874, 706
• LCM of 938, 159, 517, 607, 270
• LCM of 430, 803, 488, 526, 724

1. What is the LCM of 260, 476, 715, 638, 586?

Answer: LCM of 260, 476, 715, 638, 586 is 2891868980.

2. How to calculate the LCM of 260, 476, 715, 638, 586?

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 260, 476, 715, 638, 586.

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}.