Given numbers are 713,198,318,560,257

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

The LCM of 713,198,318,560,257 is 538420695120.

Find LCM of 713,198,318,560,257 with Prime Factorization

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

2 x 3 x 713 x 33 x 53 x 280 x 257 = 538420695120

Therefore, the lowest common multiple of 713,198,318,560,257 is 538420695120.

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.

713 x 198 x 318 x 560 x 257 = 6461048341440

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.

713 : 1, 23, 31, 713

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

318 : 1, 2, 3, 6, 53, 106, 159, 318

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,198,318,560,257, is 1.

Now, the common factors can be found like this.

713:23x 31

198:2x 3x 3x 11

318:2x 3x 53

560:2x 2x 2x 2x 5x 7

257:257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6461048341440/(1x12)

LCM = 6461048341440/12

LCM = 538420695120

Thus, we can understand that the LCM of 713,198,318,560,257 is 538420695120.

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

• LCM of 634, 141, 509, 518, 375
• LCM of 422, 123, 378, 675, 406
• LCM of 539, 254, 198, 281, 674
• LCM of 296, 806, 887, 724, 867
• LCM of 829, 630, 604, 587, 772

1. What is the LCM of 713, 198, 318, 560, 257?

Answer: LCM of 713, 198, 318, 560, 257 is 538420695120.

2. How to calculate the LCM of 713, 198, 318, 560, 257?

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 713, 198, 318, 560, 257.

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}.