Given numbers are 281,364,938,207,800

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

The LCM of 281,364,938,207,800 is 283715359200.

Find LCM of 281,364,938,207,800 with Prime Factorization

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

2 x 2 x 7 x 281 x 13 x 67 x 207 x 200 = 283715359200

Therefore, the lowest common multiple of 281,364,938,207,800 is 283715359200.

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 364 x 938 x 207 x 800 = 15888060115200

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

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

207 : 1, 3, 9, 23, 69, 207

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,364,938,207,800, is 1.

Now, the common factors can be found like this.

281:281

364:2x 2x 7x 13

938:2x 7x 67

207:3x 3x 23

800:2x 2x 2x 2x 2x 5x 5

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 7 = 56

Therefore, the value for common factors is 56.

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 = 15888060115200/(1x56)

LCM = 15888060115200/56

LCM = 283715359200

Thus, we can understand that the LCM of 281,364,938,207,800 is 283715359200.

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

• LCM of 837, 674, 678, 156, 403
• LCM of 938, 679, 698, 440, 187
• LCM of 410, 547, 754, 329, 963
• LCM of 578, 700, 262, 206, 896
• LCM of 544, 357, 694, 515, 269

1. What is the LCM of 281, 364, 938, 207, 800?

Answer: LCM of 281, 364, 938, 207, 800 is 283715359200.

2. How to calculate the LCM of 281, 364, 938, 207, 800?

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, 364, 938, 207, 800.

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}.