Given numbers are 258,648,713,303,368

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

The LCM of 258,648,713,303,368 is 4013140464.

Find LCM of 258,648,713,303,368 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 43 x 27 x 31 x 101 x 2 = 4013140464

Therefore, the lowest common multiple of 258,648,713,303,368 is 4013140464.

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.

258 x 648 x 713 x 303 x 368 = 13291521216768

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

713 : 1, 23, 31, 713

303 : 1, 3, 101, 303

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,648,713,303,368, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

648:2x 2x 2x 3x 3x 3x 3

713:23x 31

303:3x 101

368:2x 2x 2x 2x 23

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 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 13291521216768/(1x3312)

LCM = 13291521216768/3312

LCM = 4013140464

Thus, we can understand that the LCM of 258,648,713,303,368 is 4013140464.

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

• LCM of 917, 779, 917, 987, 362
• LCM of 612, 960, 203, 460, 607
• LCM of 557, 878, 505, 631, 166
• LCM of 917, 380, 367, 458, 577
• LCM of 175, 695, 413, 703, 393

1. What is the LCM of 258, 648, 713, 303, 368?

Answer: LCM of 258, 648, 713, 303, 368 is 4013140464.

2. How to calculate the LCM of 258, 648, 713, 303, 368?

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 258, 648, 713, 303, 368.

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}.