Given numbers are 428,458,486

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

The LCM of 428,458,486 is 23816916.

Find LCM of 428,458,486 with Prime Factorization

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

2 x 214 x 229 x 243 = 23816916

Therefore, the lowest common multiple of 428,458,486 is 23816916.

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.

428 x 458 x 486 = 95267664

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.

428 : 1, 2, 4, 107, 214, 428

458 : 1, 2, 229, 458

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,458,486, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

458:2x 229

486:2x 3x 3x 3x 3x 3

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 = 95267664/(2x2)

LCM = 95267664/4

LCM = 23816916

Thus, we can understand that the LCM of 428,458,486 is 23816916.

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

• LCM of 400, 940, 988
• LCM of 671, 510, 621
• LCM of 844, 257, 456
• LCM of 167, 334, 826
• LCM of 596, 484, 547

1. What is the LCM of 428, 458, 486?

Answer: LCM of 428, 458, 486 is 23816916.

2. How to calculate the LCM of 428, 458, 486?

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 428, 458, 486.

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}.