Given numbers are 902,407,772,207,816

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

The LCM of 902,407,772,207,816 is 181332155664.

Find LCM of 902,407,772,207,816 with Prime Factorization

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

2 x 2 x 3 x 11 x 41 x 37 x 193 x 69 x 68 = 181332155664

Therefore, the lowest common multiple of 902,407,772,207,816 is 181332155664.

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.

902 x 407 x 772 x 207 x 816 = 47871689095296

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

407 : 1, 11, 37, 407

772 : 1, 2, 4, 193, 386, 772

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,407,772,207,816, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

407:11x 37

772:2x 2x 193

207:3x 3x 23

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 47871689095296/(1x264)

LCM = 47871689095296/264

LCM = 181332155664

Thus, we can understand that the LCM of 902,407,772,207,816 is 181332155664.

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

• LCM of 943, 806, 640, 298, 423
• LCM of 821, 111, 594, 294, 609
• LCM of 875, 532, 565, 610, 196
• LCM of 934, 879, 131, 267, 329
• LCM of 880, 465, 538, 498, 825

1. What is the LCM of 902, 407, 772, 207, 816?

Answer: LCM of 902, 407, 772, 207, 816 is 181332155664.

2. How to calculate the LCM of 902, 407, 772, 207, 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 902, 407, 772, 207, 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}.