Given numbers are 831,160,276,437,966

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

The LCM of 831,160,276,437,966 is 406724640.

Find LCM of 831,160,276,437,966 with Prime Factorization

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

2 x 2 x 3 x 23 x 277 x 40 x 1 x 19 x 7 = 406724640

Therefore, the lowest common multiple of 831,160,276,437,966 is 406724640.

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.

831 x 160 x 276 x 437 x 966 = 15491328088320

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.

831 : 1, 3, 277, 831

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

437 : 1, 19, 23, 437

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,160,276,437,966, is 1.

Now, the common factors can be found like this.

831:3x 277

160:2x 2x 2x 2x 2x 5

276:2x 2x 3x 23

437:19x 23

966:2x 3x 7x 23

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 3x 23x 23 = 38088

Therefore, the value for common factors is 38088.

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 = 15491328088320/(1x38088)

LCM = 15491328088320/38088

LCM = 406724640

Thus, we can understand that the LCM of 831,160,276,437,966 is 406724640.

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

• LCM of 442, 614, 917, 771, 382
• LCM of 483, 298, 857, 290, 322
• LCM of 345, 153, 253, 664, 551
• LCM of 796, 397, 150, 318, 927
• LCM of 232, 565, 838, 603, 691

1. What is the LCM of 831, 160, 276, 437, 966?

Answer: LCM of 831, 160, 276, 437, 966 is 406724640.

2. How to calculate the LCM of 831, 160, 276, 437, 966?

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 831, 160, 276, 437, 966.

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}.