Given numbers are 257,461,680,296,162

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

The LCM of 257,461,680,296,162 is 241451386920.

Find LCM of 257,461,680,296,162 with Prime Factorization

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

2 x 2 x 2 x 257 x 461 x 85 x 37 x 81 = 241451386920

Therefore, the lowest common multiple of 257,461,680,296,162 is 241451386920.

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 461 x 680 x 296 x 162 = 3863222190720

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

461 : 1, 461

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,461,680,296,162, is 1.

Now, the common factors can be found like this.

257:257

461:461

680:2x 2x 2x 5x 17

296:2x 2x 2x 37

162:2x 3x 3x 3x 3

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 = 3863222190720/(1x16)

LCM = 3863222190720/16

LCM = 241451386920

Thus, we can understand that the LCM of 257,461,680,296,162 is 241451386920.

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

• LCM of 668, 412, 375, 147, 384
• LCM of 132, 683, 820, 582, 897
• LCM of 108, 761, 889, 714, 481
• LCM of 911, 464, 396, 725, 499
• LCM of 903, 629, 526, 892, 489

1. What is the LCM of 257, 461, 680, 296, 162?

Answer: LCM of 257, 461, 680, 296, 162 is 241451386920.

2. How to calculate the LCM of 257, 461, 680, 296, 162?

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, 461, 680, 296, 162.

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}.