Given numbers are 924,260,494,626,460

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

The LCM of 924,260,494,626,460 is 8215066860.

Find LCM of 924,260,494,626,460 with Prime Factorization

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

2 x 2 x 5 x 13 x 231 x 1 x 19 x 313 x 23 = 8215066860

Therefore, the lowest common multiple of 924,260,494,626,460 is 8215066860.

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.

924 x 260 x 494 x 626 x 460 = 34174678137600

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

626 : 1, 2, 313, 626

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,260,494,626,460, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

260:2x 2x 5x 13

494:2x 13x 19

626:2x 313

460:2x 2x 5x 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 2x 2x 2x 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 34174678137600/(2x2080)

LCM = 34174678137600/4160

LCM = 8215066860

Thus, we can understand that the LCM of 924,260,494,626,460 is 8215066860.

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

• LCM of 552, 829, 565, 303, 729
• LCM of 717, 325, 376, 721, 240
• LCM of 265, 726, 486, 414, 280
• LCM of 207, 922, 658, 724, 849
• LCM of 217, 811, 710, 737, 208

1. What is the LCM of 924, 260, 494, 626, 460?

Answer: LCM of 924, 260, 494, 626, 460 is 8215066860.

2. How to calculate the LCM of 924, 260, 494, 626, 460?

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 924, 260, 494, 626, 460.

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}.