Given numbers are 516,940,646,920,608

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

The LCM of 516,940,646,920,608 is 7206724320.

Find LCM of 516,940,646,920,608 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 129 x 47 x 17 x 23 x 4 = 7206724320

Therefore, the lowest common multiple of 516,940,646,920,608 is 7206724320.

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.

516 x 940 x 646 x 920 x 608 = 175267535462400

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,940,646,920,608, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

940:2x 2x 5x 47

646:2x 17x 19

920:2x 2x 2x 5x 23

608:2x 2x 2x 2x 2x 19

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 2x 2x 5x 19 = 12160

Therefore, the value for common factors is 12160.

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 = 175267535462400/(2x12160)

LCM = 175267535462400/24320

LCM = 7206724320

Thus, we can understand that the LCM of 516,940,646,920,608 is 7206724320.

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

• LCM of 925, 468, 110, 497, 334
• LCM of 515, 897, 224, 242, 424
• LCM of 838, 609, 480, 261, 213
• LCM of 199, 730, 945, 593, 500
• LCM of 989, 635, 862, 442, 489

1. What is the LCM of 516, 940, 646, 920, 608?

Answer: LCM of 516, 940, 646, 920, 608 is 7206724320.

2. How to calculate the LCM of 516, 940, 646, 920, 608?

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 516, 940, 646, 920, 608.

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}.