Given numbers are 456,381,171

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

The LCM of 456,381,171 is 173736.

Find LCM of 456,381,171 with Prime Factorization

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

3 x 19 x 8 x 127 x 3 = 173736

Therefore, the lowest common multiple of 456,381,171 is 173736.

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.

456 x 381 x 171 = 29708856

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.

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

381 : 1, 3, 127, 381

171 : 1, 3, 9, 19, 57, 171

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,381,171, is 3.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

381:3x 127

171:3x 3x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 29708856/(3x57)

LCM = 29708856/171

LCM = 173736

Thus, we can understand that the LCM of 456,381,171 is 173736.

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

• LCM of 860, 404, 155
• LCM of 571, 531, 131
• LCM of 469, 573, 259
• LCM of 945, 458, 509
• LCM of 649, 722, 368

1. What is the LCM of 456, 381, 171?

Answer: LCM of 456, 381, 171 is 173736.

2. How to calculate the LCM of 456, 381, 171?

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 456, 381, 171.

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}.