Given numbers are 257,490,358,284,892

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

The LCM of 257,490,358,284,892 is 713798189020.

Find LCM of 257,490,358,284,892 with Prime Factorization

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

2 x 2 x 257 x 245 x 179 x 71 x 223 = 713798189020

Therefore, the lowest common multiple of 257,490,358,284,892 is 713798189020.

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.

257 x 490 x 358 x 284 x 892 = 11420771024320

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.

257 : 1, 257

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

358 : 1, 2, 179, 358

284 : 1, 2, 4, 71, 142, 284

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,490,358,284,892, is 1.

Now, the common factors can be found like this.

257:257

490:2x 5x 7x 7

358:2x 179

284:2x 2x 71

892:2x 2x 223

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11420771024320/(1x16)

LCM = 11420771024320/16

LCM = 713798189020

Thus, we can understand that the LCM of 257,490,358,284,892 is 713798189020.

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

• LCM of 516, 420, 481, 308, 140
• LCM of 567, 376, 320, 164, 898
• LCM of 756, 663, 555, 200, 279
• LCM of 646, 635, 914, 141, 476
• LCM of 951, 322, 788, 129, 830

1. What is the LCM of 257, 490, 358, 284, 892?

Answer: LCM of 257, 490, 358, 284, 892 is 713798189020.

2. How to calculate the LCM of 257, 490, 358, 284, 892?

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 257, 490, 358, 284, 892.

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}.