Given numbers are 446,456,498

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

The LCM of 446,456,498 is 8440104.

Find LCM of 446,456,498 with Prime Factorization

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

2 x 3 x 223 x 76 x 83 = 8440104

Therefore, the lowest common multiple of 446,456,498 is 8440104.

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.

446 x 456 x 498 = 101281248

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.

446 : 1, 2, 223, 446

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,456,498, is 2.

Now, the common factors can be found like this.

446:2x 223

456:2x 2x 2x 3x 19

498:2x 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.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 101281248/(2x6)

LCM = 101281248/12

LCM = 8440104

Thus, we can understand that the LCM of 446,456,498 is 8440104.

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

• LCM of 154, 663, 483
• LCM of 140, 897, 423
• LCM of 281, 325, 909
• LCM of 123, 525, 964
• LCM of 825, 147, 389

1. What is the LCM of 446, 456, 498?

Answer: LCM of 446, 456, 498 is 8440104.

2. How to calculate the LCM of 446, 456, 498?

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 446, 456, 498.

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}.