Given numbers are 966,149,272,470,854

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

The LCM of 966,149,272,470,854 is 280607969040.

Find LCM of 966,149,272,470,854 with Prime Factorization

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

2 x 7 x 69 x 149 x 136 x 235 x 61 = 280607969040

Therefore, the lowest common multiple of 966,149,272,470,854 is 280607969040.

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.

966 x 149 x 272 x 470 x 854 = 15714046266240

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

149 : 1, 149

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

470 : 1, 2, 5, 10, 47, 94, 235, 470

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,149,272,470,854, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

149:149

272:2x 2x 2x 2x 17

470:2x 5x 47

854:2x 7x 61

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 7 = 56

Therefore, the value for common factors is 56.

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 = 15714046266240/(1x56)

LCM = 15714046266240/56

LCM = 280607969040

Thus, we can understand that the LCM of 966,149,272,470,854 is 280607969040.

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

• LCM of 638, 774, 473, 476, 425
• LCM of 180, 489, 838, 655, 662
• LCM of 979, 164, 425, 504, 489
• LCM of 918, 262, 353, 912, 972
• LCM of 378, 388, 613, 328, 629

1. What is the LCM of 966, 149, 272, 470, 854?

Answer: LCM of 966, 149, 272, 470, 854 is 280607969040.

2. How to calculate the LCM of 966, 149, 272, 470, 854?

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 966, 149, 272, 470, 854.

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}.