Given numbers are 487,259,257,296,338

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

The LCM of 487,259,257,296,338 is 43826676712.

Find LCM of 487,259,257,296,338 with Prime Factorization

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

2 x 37 x 487 x 7 x 257 x 4 x 169 = 43826676712

Therefore, the lowest common multiple of 487,259,257,296,338 is 43826676712.

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.

487 x 259 x 257 x 296 x 338 = 3243174076688

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.

487 : 1, 487

259 : 1, 7, 37, 259

257 : 1, 257

296 : 1, 2, 4, 8, 37, 74, 148, 296

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,259,257,296,338, is 1.

Now, the common factors can be found like this.

487:487

259:7x 37

257:257

296:2x 2x 2x 37

338:2x 13x 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 37 = 74

Therefore, the value for common factors is 74.

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 = 3243174076688/(1x74)

LCM = 3243174076688/74

LCM = 43826676712

Thus, we can understand that the LCM of 487,259,257,296,338 is 43826676712.

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

• LCM of 395, 697, 924, 951, 181
• LCM of 953, 632, 280, 369, 976
• LCM of 543, 416, 795, 630, 684
• LCM of 593, 993, 816, 837, 699
• LCM of 405, 432, 988, 752, 902

1. What is the LCM of 487, 259, 257, 296, 338?

Answer: LCM of 487, 259, 257, 296, 338 is 43826676712.

2. How to calculate the LCM of 487, 259, 257, 296, 338?

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 487, 259, 257, 296, 338.

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}.