Given numbers are 381,456,351,249

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

The LCM of 381,456,351,249 is 562383432.

Find LCM of 381,456,351,249 with Prime Factorization

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

3 x 127 x 152 x 117 x 83 = 562383432

Therefore, the lowest common multiple of 381,456,351,249 is 562383432.

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.

381 x 456 x 351 x 249 = 15184352664

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.

381 : 1, 3, 127, 381

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

351 : 1, 3, 9, 13, 27, 39, 117, 351

249 : 1, 3, 83, 249

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,456,351,249, is 3.

Now, the common factors can be found like this.

381:3x 127

456:2x 2x 2x 3x 19

351:3x 3x 3x 13

249:3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 15184352664/(3x9)

LCM = 15184352664/27

LCM = 562383432

Thus, we can understand that the LCM of 381,456,351,249 is 562383432.

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

• LCM of 775, 953, 828, 240
• LCM of 432, 486, 510, 387
• LCM of 221, 280, 124, 922
• LCM of 238, 520, 538, 704
• LCM of 470, 246, 751, 725

1. What is the LCM of 381, 456, 351, 249?

Answer: LCM of 381, 456, 351, 249 is 562383432.

2. How to calculate the LCM of 381, 456, 351, 249?

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 381, 456, 351, 249.

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}.