Given numbers are 283,974,678,400

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

The LCM of 283,974,678,400 is 18688527600.

Find LCM of 283,974,678,400 with Prime Factorization

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

2 x 283 x 487 x 339 x 200 = 18688527600

Therefore, the lowest common multiple of 283,974,678,400 is 18688527600.

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.

283 x 974 x 678 x 400 = 74754110400

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.

283 : 1, 283

974 : 1, 2, 487, 974

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,974,678,400, is 1.

Now, the common factors can be found like this.

283:283

974:2x 487

678:2x 3x 113

400:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 74754110400/(1x4)

LCM = 74754110400/4

LCM = 18688527600

Thus, we can understand that the LCM of 283,974,678,400 is 18688527600.

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

• LCM of 455, 792, 702, 553
• LCM of 231, 271, 777, 859
• LCM of 446, 140, 441, 836
• LCM of 787, 981, 215, 352
• LCM of 632, 448, 539, 306

1. What is the LCM of 283, 974, 678, 400?

Answer: LCM of 283, 974, 678, 400 is 18688527600.

2. How to calculate the LCM of 283, 974, 678, 400?

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 283, 974, 678, 400.

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}.