Given numbers are 315,248,446,422

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

The LCM of 315,248,446,422 is 3675780360.

Find LCM of 315,248,446,422 with Prime Factorization

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

2 x 315 x 124 x 223 x 211 = 3675780360

Therefore, the lowest common multiple of 315,248,446,422 is 3675780360.

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.

315 x 248 x 446 x 422 = 14703121440

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

248 : 1, 2, 4, 8, 31, 62, 124, 248

446 : 1, 2, 223, 446

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,248,446,422, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

248:2x 2x 2x 31

446:2x 223

422:2x 211

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 = 14703121440/(1x4)

LCM = 14703121440/4

LCM = 3675780360

Thus, we can understand that the LCM of 315,248,446,422 is 3675780360.

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

• LCM of 752, 737, 984, 151
• LCM of 399, 332, 359, 530
• LCM of 831, 126, 961, 205
• LCM of 521, 220, 821, 983
• LCM of 804, 396, 538, 401

1. What is the LCM of 315, 248, 446, 422?

Answer: LCM of 315, 248, 446, 422 is 3675780360.

2. How to calculate the LCM of 315, 248, 446, 422?

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 315, 248, 446, 422.

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}.