Given numbers are 813,364,566,318,966

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

The LCM of 813,364,566,318,966 is 102089733564.

Find LCM of 813,364,566,318,966 with Prime Factorization

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

2 x 3 x 7 x 271 x 26 x 283 x 53 x 23 = 102089733564

Therefore, the lowest common multiple of 813,364,566,318,966 is 102089733564.

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.

813 x 364 x 566 x 318 x 966 = 51453225716256

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.

813 : 1, 3, 271, 813

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

566 : 1, 2, 283, 566

318 : 1, 2, 3, 6, 53, 106, 159, 318

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 813,364,566,318,966, is 1.

Now, the common factors can be found like this.

813:3x 271

364:2x 2x 7x 13

566:2x 283

318:2x 3x 53

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 7 = 504

Therefore, the value for common factors is 504.

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 = 51453225716256/(1x504)

LCM = 51453225716256/504

LCM = 102089733564

Thus, we can understand that the LCM of 813,364,566,318,966 is 102089733564.

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

• LCM of 855, 311, 930, 450, 321
• LCM of 520, 525, 155, 382, 338
• LCM of 443, 583, 400, 941, 104
• LCM of 215, 410, 677, 387, 745
• LCM of 932, 308, 694, 898, 823

1. What is the LCM of 813, 364, 566, 318, 966?

Answer: LCM of 813, 364, 566, 318, 966 is 102089733564.

2. How to calculate the LCM of 813, 364, 566, 318, 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 813, 364, 566, 318, 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}.