Given numbers are 260,566,460,816,714

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

The LCM of 260,566,460,816,714 is 2416661520.

Find LCM of 260,566,460,816,714 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 13 x 283 x 23 x 4 x 7 = 2416661520

Therefore, the lowest common multiple of 260,566,460,816,714 is 2416661520.

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 566 x 460 x 816 x 714 = 39439916006400

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

566 : 1, 2, 283, 566

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,566,460,816,714, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

566:2x 283

460:2x 2x 5x 23

816:2x 2x 2x 2x 3x 17

714:2x 3x 7x 17

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 3x 5x 17 = 8160

Therefore, the value for common factors is 8160.

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 = 39439916006400/(2x8160)

LCM = 39439916006400/16320

LCM = 2416661520

Thus, we can understand that the LCM of 260,566,460,816,714 is 2416661520.

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

• LCM of 366, 703, 836, 567, 126
• LCM of 130, 123, 875, 375, 730
• LCM of 304, 309, 232, 550, 189
• LCM of 136, 625, 912, 114, 387
• LCM of 620, 656, 351, 101, 227

1. What is the LCM of 260, 566, 460, 816, 714?

Answer: LCM of 260, 566, 460, 816, 714 is 2416661520.

2. How to calculate the LCM of 260, 566, 460, 816, 714?

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, 566, 460, 816, 714.

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}.