Given numbers are 920,528,456,331

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

The LCM of 920,528,456,331 is 381868080.

Find LCM of 920,528,456,331 with Prime Factorization

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

2 x 2 x 2 x 3 x 115 x 22 x 19 x 331 = 381868080

Therefore, the lowest common multiple of 920,528,456,331 is 381868080.

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.

920 x 528 x 456 x 331 = 73318671360

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,528,456,331, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

528:2x 2x 2x 2x 3x 11

456:2x 2x 2x 3x 19

331:331

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 73318671360/(1x192)

LCM = 73318671360/192

LCM = 381868080

Thus, we can understand that the LCM of 920,528,456,331 is 381868080.

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

• LCM of 272, 574, 476, 498
• LCM of 773, 728, 473, 195
• LCM of 305, 301, 208, 836
• LCM of 178, 746, 689, 291
• LCM of 442, 958, 864, 269

1. What is the LCM of 920, 528, 456, 331?

Answer: LCM of 920, 528, 456, 331 is 381868080.

2. How to calculate the LCM of 920, 528, 456, 331?

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 920, 528, 456, 331.

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}.