Given numbers are 391,318,974,966,920

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

The LCM of 391,318,974,966,920 is 8477364840.

Find LCM of 391,318,974,966,920 with Prime Factorization

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

2 x 3 x 23 x 17 x 53 x 487 x 7 x 20 = 8477364840

Therefore, the lowest common multiple of 391,318,974,966,920 is 8477364840.

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.

391 x 318 x 974 x 966 x 920 = 107628624008640

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.

391 : 1, 17, 23, 391

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

974 : 1, 2, 487, 974

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,318,974,966,920, is 1.

Now, the common factors can be found like this.

391:17x 23

318:2x 3x 53

974:2x 487

966:2x 3x 7x 23

920:2x 2x 2x 5x 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 23x 23 = 12696

Therefore, the value for common factors is 12696.

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 = 107628624008640/(1x12696)

LCM = 107628624008640/12696

LCM = 8477364840

Thus, we can understand that the LCM of 391,318,974,966,920 is 8477364840.

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

• LCM of 269, 783, 450, 181, 606
• LCM of 358, 790, 911, 222, 713
• LCM of 188, 118, 882, 221, 673
• LCM of 237, 782, 425, 463, 830
• LCM of 129, 815, 974, 807, 434

1. What is the LCM of 391, 318, 974, 966, 920?

Answer: LCM of 391, 318, 974, 966, 920 is 8477364840.

2. How to calculate the LCM of 391, 318, 974, 966, 920?

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 391, 318, 974, 966, 920.

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}.