Given numbers are 281,456,388,115,920

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

The LCM of 281,456,388,115,920 is 1429357080.

Find LCM of 281,456,388,115,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 281 x 57 x 97 x 1 x 1 = 1429357080

Therefore, the lowest common multiple of 281,456,388,115,920 is 1429357080.

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 456 x 388 x 115 x 920 = 5260034054400

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

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

388 : 1, 2, 4, 97, 194, 388

115 : 1, 5, 23, 115

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 281,456,388,115,920, is 1.

Now, the common factors can be found like this.

281:281

456:2x 2x 2x 3x 19

388:2x 2x 97

115:5x 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 2x 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 5260034054400/(1x3680)

LCM = 5260034054400/3680

LCM = 1429357080

Thus, we can understand that the LCM of 281,456,388,115,920 is 1429357080.

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

• LCM of 238, 799, 798, 293, 322
• LCM of 525, 698, 763, 522, 491
• LCM of 873, 684, 976, 521, 143
• LCM of 625, 999, 133, 423, 107
• LCM of 135, 402, 256, 972, 599

1. What is the LCM of 281, 456, 388, 115, 920?

Answer: LCM of 281, 456, 388, 115, 920 is 1429357080.

2. How to calculate the LCM of 281, 456, 388, 115, 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 281, 456, 388, 115, 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}.