Given numbers are 381,489,467

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

The LCM of 381,489,467 is 29002101.

Find LCM of 381,489,467 with Prime Factorization

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

3 x 127 x 163 x 467 = 29002101

Therefore, the lowest common multiple of 381,489,467 is 29002101.

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 489 x 467 = 87006303

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

489 : 1, 3, 163, 489

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,489,467, is 1.

Now, the common factors can be found like this.

381:3x 127

489:3x 163

467:467

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

3 = 3

Therefore, the value for common factors is 3.

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 = 87006303/(1x3)

LCM = 87006303/3

LCM = 29002101

Thus, we can understand that the LCM of 381,489,467 is 29002101.

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

• LCM of 915, 695, 679
• LCM of 409, 569, 222
• LCM of 780, 883, 538
• LCM of 515, 408, 607
• LCM of 506, 633, 818

1. What is the LCM of 381, 489, 467?

Answer: LCM of 381, 489, 467 is 29002101.

2. How to calculate the LCM of 381, 489, 467?

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, 489, 467.

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}.