Given numbers are 258,412,504,209

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

The LCM of 258,412,504,209 is 466533144.

Find LCM of 258,412,504,209 with Prime Factorization

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

2 x 2 x 3 x 43 x 103 x 42 x 209 = 466533144

Therefore, the lowest common multiple of 258,412,504,209 is 466533144.

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.

258 x 412 x 504 x 209 = 11196795456

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

412 : 1, 2, 4, 103, 206, 412

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,412,504,209, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

412:2x 2x 103

504:2x 2x 2x 3x 3x 7

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 11196795456/(1x24)

LCM = 11196795456/24

LCM = 466533144

Thus, we can understand that the LCM of 258,412,504,209 is 466533144.

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

• LCM of 953, 993, 562, 513
• LCM of 245, 491, 570, 757
• LCM of 106, 420, 997, 917
• LCM of 429, 365, 407, 163
• LCM of 139, 145, 969, 110

1. What is the LCM of 258, 412, 504, 209?

Answer: LCM of 258, 412, 504, 209 is 466533144.

2. How to calculate the LCM of 258, 412, 504, 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 258, 412, 504, 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}.