Given numbers are 199,368,376,460

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

The LCM of 199,368,376,460 is 17209520.

Find LCM of 199,368,376,460 with Prime Factorization

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

2 x 2 x 2 x 23 x 199 x 2 x 47 x 5 = 17209520

Therefore, the lowest common multiple of 199,368,376,460 is 17209520.

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.

199 x 368 x 376 x 460 = 12666206720

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.

199 : 1, 199

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

376 : 1, 2, 4, 8, 47, 94, 188, 376

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,368,376,460, is 1.

Now, the common factors can be found like this.

199:199

368:2x 2x 2x 2x 23

376:2x 2x 2x 47

460:2x 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 23 = 736

Therefore, the value for common factors is 736.

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 = 12666206720/(1x736)

LCM = 12666206720/736

LCM = 17209520

Thus, we can understand that the LCM of 199,368,376,460 is 17209520.

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

• LCM of 813, 150, 642, 784
• LCM of 571, 851, 286, 773
• LCM of 759, 155, 692, 369
• LCM of 148, 307, 469, 762
• LCM of 357, 686, 973, 229

1. What is the LCM of 199, 368, 376, 460?

Answer: LCM of 199, 368, 376, 460 is 17209520.

2. How to calculate the LCM of 199, 368, 376, 460?

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 199, 368, 376, 460.

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}.