Given numbers are 442,646,754,518,816

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

The LCM of 442,646,754,518,816 is 1513857072.

Find LCM of 442,646,754,518,816 with Prime Factorization

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

2 x 13 x 17 x 1 x 19 x 29 x 259 x 24 = 1513857072

Therefore, the lowest common multiple of 442,646,754,518,816 is 1513857072.

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.

442 x 646 x 754 x 518 x 816 = 91000976312064

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

646 : 1, 2, 17, 19, 34, 38, 323, 646

754 : 1, 2, 13, 26, 29, 58, 377, 754

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,646,754,518,816, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

646:2x 17x 19

754:2x 13x 29

518:2x 7x 37

816:2x 2x 2x 2x 3x 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 13x 17x 17 = 30056

Therefore, the value for common factors is 30056.

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 = 91000976312064/(2x30056)

LCM = 91000976312064/60112

LCM = 1513857072

Thus, we can understand that the LCM of 442,646,754,518,816 is 1513857072.

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

• LCM of 212, 766, 559, 668, 551
• LCM of 307, 397, 409, 387, 891
• LCM of 619, 185, 509, 842, 856
• LCM of 821, 534, 648, 221, 892
• LCM of 541, 494, 298, 112, 592

1. What is the LCM of 442, 646, 754, 518, 816?

Answer: LCM of 442, 646, 754, 518, 816 is 1513857072.

2. How to calculate the LCM of 442, 646, 754, 518, 816?

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 442, 646, 754, 518, 816.

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}.