Given numbers are 258,814,843,720,208

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

The LCM of 258,814,843,720,208 is 46030430160.

Find LCM of 258,814,843,720,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 43 x 407 x 281 x 15 x 13 = 46030430160

Therefore, the lowest common multiple of 258,814,843,720,208 is 46030430160.

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 814 x 843 x 720 x 208 = 26513527772160

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

843 : 1, 3, 281, 843

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,814,843,720,208, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

814:2x 11x 37

843:3x 281

720:2x 2x 2x 2x 3x 3x 5

208:2x 2x 2x 2x 13

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 26513527772160/(1x576)

LCM = 26513527772160/576

LCM = 46030430160

Thus, we can understand that the LCM of 258,814,843,720,208 is 46030430160.

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

• LCM of 987, 752, 530, 919, 429
• LCM of 642, 262, 763, 547, 184
• LCM of 383, 777, 503, 967, 846
• LCM of 112, 956, 456, 830, 880
• LCM of 111, 145, 316, 602, 946

1. What is the LCM of 258, 814, 843, 720, 208?

Answer: LCM of 258, 814, 843, 720, 208 is 46030430160.

2. How to calculate the LCM of 258, 814, 843, 720, 208?

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, 814, 843, 720, 208.

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}.