Given numbers are 445,398,412,974

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

The LCM of 445,398,412,974 is 17768029420.

Find LCM of 445,398,412,974 with Prime Factorization

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

2 x 445 x 199 x 206 x 487 = 17768029420

Therefore, the lowest common multiple of 445,398,412,974 is 17768029420.

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.

445 x 398 x 412 x 974 = 71072117680

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.

445 : 1, 5, 89, 445

398 : 1, 2, 199, 398

412 : 1, 2, 4, 103, 206, 412

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,398,412,974, is 1.

Now, the common factors can be found like this.

445:5x 89

398:2x 199

412:2x 2x 103

974:2x 487

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 = 71072117680/(1x4)

LCM = 71072117680/4

LCM = 17768029420

Thus, we can understand that the LCM of 445,398,412,974 is 17768029420.

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

• LCM of 538, 175, 440, 676
• LCM of 839, 152, 672, 310
• LCM of 240, 271, 292, 144
• LCM of 483, 207, 828, 528
• LCM of 642, 621, 902, 531

1. What is the LCM of 445, 398, 412, 974?

Answer: LCM of 445, 398, 412, 974 is 17768029420.

2. How to calculate the LCM of 445, 398, 412, 974?

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 445, 398, 412, 974.

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}.