Given numbers are 387,214,466

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

The LCM of 387,214,466 is 19296594.

Find LCM of 387,214,466 with Prime Factorization

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

2 x 387 x 107 x 233 = 19296594

Therefore, the lowest common multiple of 387,214,466 is 19296594.

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.

387 x 214 x 466 = 38593188

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.

387 : 1, 3, 9, 43, 129, 387

214 : 1, 2, 107, 214

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,214,466, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

214:2x 107

466:2x 233

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38593188/(1x2)

LCM = 38593188/2

LCM = 19296594

Thus, we can understand that the LCM of 387,214,466 is 19296594.

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

• LCM of 488, 970, 362
• LCM of 856, 559, 960
• LCM of 396, 621, 587
• LCM of 234, 839, 178
• LCM of 364, 239, 828

1. What is the LCM of 387, 214, 466?

Answer: LCM of 387, 214, 466 is 19296594.

2. How to calculate the LCM of 387, 214, 466?

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 387, 214, 466.

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}.