Given numbers are 762,397,391,168,408

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

The LCM of 762,397,391,168,408 is 3311923272.

Find LCM of 762,397,391,168,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 127 x 397 x 23 x 7 x 1 = 3311923272

Therefore, the lowest common multiple of 762,397,391,168,408 is 3311923272.

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.

762 x 397 x 391 x 168 x 408 = 8107588169856

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

397 : 1, 397

391 : 1, 17, 23, 391

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,397,391,168,408, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

397:397

391:17x 23

168:2x 2x 2x 3x 7

408:2x 2x 2x 3x 17

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 17 = 2448

Therefore, the value for common factors is 2448.

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 = 8107588169856/(1x2448)

LCM = 8107588169856/2448

LCM = 3311923272

Thus, we can understand that the LCM of 762,397,391,168,408 is 3311923272.

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

• LCM of 466, 790, 331, 755, 344
• LCM of 116, 869, 308, 156, 967
• LCM of 806, 520, 598, 175, 887
• LCM of 258, 592, 456, 992, 123
• LCM of 384, 212, 428, 121, 169

1. What is the LCM of 762, 397, 391, 168, 408?

Answer: LCM of 762, 397, 391, 168, 408 is 3311923272.

2. How to calculate the LCM of 762, 397, 391, 168, 408?

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 762, 397, 391, 168, 408.

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}.