Given numbers are 940,684,305,288,620

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

The LCM of 940,684,305,288,620 is 2431674720.

Find LCM of 940,684,305,288,620 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 47 x 19 x 61 x 8 x 31 = 2431674720

Therefore, the lowest common multiple of 940,684,305,288,620 is 2431674720.

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.

940 x 684 x 305 x 288 x 620 = 35016115968000

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.

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

305 : 1, 5, 61, 305

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,684,305,288,620, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

684:2x 2x 3x 3x 19

305:5x 61

288:2x 2x 2x 2x 2x 3x 3

620:2x 2x 5x 31

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 3x 3x 5x 5 = 14400

Therefore, the value for common factors is 14400.

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 = 35016115968000/(1x14400)

LCM = 35016115968000/14400

LCM = 2431674720

Thus, we can understand that the LCM of 940,684,305,288,620 is 2431674720.

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

• LCM of 175, 374, 507, 397, 728
• LCM of 571, 973, 993, 654, 249
• LCM of 765, 525, 948, 672, 270
• LCM of 656, 529, 379, 665, 829
• LCM of 141, 792, 574, 831, 665

1. What is the LCM of 940, 684, 305, 288, 620?

Answer: LCM of 940, 684, 305, 288, 620 is 2431674720.

2. How to calculate the LCM of 940, 684, 305, 288, 620?

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 940, 684, 305, 288, 620.

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}.