Given numbers are 257,319,671,696

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

The LCM of 257,319,671,696 is 120023112.

Find LCM of 257,319,671,696 with Prime Factorization

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

11 x 29 x 257 x 1 x 61 x 24 = 120023112

Therefore, the lowest common multiple of 257,319,671,696 is 120023112.

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 319 x 671 x 696 = 38287372728

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

319 : 1, 11, 29, 319

671 : 1, 11, 61, 671

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,319,671,696, is 1.

Now, the common factors can be found like this.

257:257

319:11x 29

671:11x 61

696:2x 2x 2x 3x 29

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

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 38287372728/(1x319)

LCM = 38287372728/319

LCM = 120023112

Thus, we can understand that the LCM of 257,319,671,696 is 120023112.

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

• LCM of 808, 343, 434, 340
• LCM of 549, 181, 625, 605
• LCM of 181, 797, 489, 304
• LCM of 202, 104, 625, 161
• LCM of 516, 475, 650, 198

1. What is the LCM of 257, 319, 671, 696?

Answer: LCM of 257, 319, 671, 696 is 120023112.

2. How to calculate the LCM of 257, 319, 671, 696?

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, 319, 671, 696.

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}.