Given numbers are 414,248,393,795,258

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

The LCM of 414,248,393,795,258 is 76631557320.

Find LCM of 414,248,393,795,258 with Prime Factorization

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

2 x 3 x 69 x 124 x 131 x 265 x 43 = 76631557320

Therefore, the lowest common multiple of 414,248,393,795,258 is 76631557320.

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.

414 x 248 x 393 x 795 x 258 = 8276208190560

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

248 : 1, 2, 4, 8, 31, 62, 124, 248

393 : 1, 3, 131, 393

795 : 1, 3, 5, 15, 53, 159, 265, 795

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 414,248,393,795,258, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

248:2x 2x 2x 31

393:3x 131

795:3x 5x 53

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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 8276208190560/(1x108)

LCM = 8276208190560/108

LCM = 76631557320

Thus, we can understand that the LCM of 414,248,393,795,258 is 76631557320.

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

• LCM of 756, 378, 495, 800, 741
• LCM of 659, 555, 567, 608, 796
• LCM of 247, 923, 724, 189, 460
• LCM of 616, 152, 209, 722, 625
• LCM of 568, 145, 583, 111, 650

1. What is the LCM of 414, 248, 393, 795, 258?

Answer: LCM of 414, 248, 393, 795, 258 is 76631557320.

2. How to calculate the LCM of 414, 248, 393, 795, 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 414, 248, 393, 795, 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}.