Given numbers are 456,451,209

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

The LCM of 456,451,209 is 205656.

Find LCM of 456,451,209 with Prime Factorization

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

11 x 19 x 24 x 41 x 1 = 205656

Therefore, the lowest common multiple of 456,451,209 is 205656.

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 451 x 209 = 42982104

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

451 : 1, 11, 41, 451

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,451,209, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

451:11x 41

209:11x 19

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 42982104/(1x209)

LCM = 42982104/209

LCM = 205656

Thus, we can understand that the LCM of 456,451,209 is 205656.

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

• LCM of 488, 399, 584
• LCM of 617, 986, 439
• LCM of 694, 500, 179
• LCM of 186, 836, 406
• LCM of 293, 893, 767

1. What is the LCM of 456, 451, 209?

Answer: LCM of 456, 451, 209 is 205656.

2. How to calculate the LCM of 456, 451, 209?

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, 451, 209.

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}.