Given numbers are 617,452,214,715,258

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

The LCM of 617,452,214,715,258 is 2752346634180.

Find LCM of 617,452,214,715,258 with Prime Factorization

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

2 x 617 x 226 x 107 x 715 x 129 = 2752346634180

Therefore, the lowest common multiple of 617,452,214,715,258 is 2752346634180.

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.

617 x 452 x 214 x 715 x 258 = 11009386536720

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.

617 : 1, 617

452 : 1, 2, 4, 113, 226, 452

214 : 1, 2, 107, 214

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,452,214,715,258, is 1.

Now, the common factors can be found like this.

617:617

452:2x 2x 113

214:2x 107

715:5x 11x 13

258:2x 3x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11009386536720/(1x4)

LCM = 11009386536720/4

LCM = 2752346634180

Thus, we can understand that the LCM of 617,452,214,715,258 is 2752346634180.

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

• LCM of 246, 372, 455, 970, 554
• LCM of 246, 324, 902, 929, 363
• LCM of 263, 592, 791, 593, 295
• LCM of 238, 449, 934, 301, 629
• LCM of 308, 741, 938, 470, 861

1. What is the LCM of 617, 452, 214, 715, 258?

Answer: LCM of 617, 452, 214, 715, 258 is 2752346634180.

2. How to calculate the LCM of 617, 452, 214, 715, 258?

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 617, 452, 214, 715, 258.

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}.