Given numbers are 281,920,396,460

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

The LCM of 281,920,396,460 is 25593480.

Find LCM of 281,920,396,460 with Prime Factorization

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

2 x 2 x 5 x 23 x 281 x 1 x 99 x 2 = 25593480

Therefore, the lowest common multiple of 281,920,396,460 is 25593480.

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.

281 x 920 x 396 x 460 = 47092003200

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.

281 : 1, 281

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,920,396,460, is 1.

Now, the common factors can be found like this.

281:281

920:2x 2x 2x 5x 23

396:2x 2x 3x 3x 11

460:2x 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 2x 5x 23 = 1840

Therefore, the value for common factors is 1840.

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 = 47092003200/(1x1840)

LCM = 47092003200/1840

LCM = 25593480

Thus, we can understand that the LCM of 281,920,396,460 is 25593480.

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

• LCM of 237, 657, 628, 297
• LCM of 838, 529, 967, 200
• LCM of 582, 349, 825, 175
• LCM of 145, 656, 910, 281
• LCM of 637, 694, 622, 143

1. What is the LCM of 281, 920, 396, 460?

Answer: LCM of 281, 920, 396, 460 is 25593480.

2. How to calculate the LCM of 281, 920, 396, 460?

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 281, 920, 396, 460.

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}.