Given numbers are 642,770,575,167,408

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

The LCM of 642,770,575,167,408 is 322789189800.

Find LCM of 642,770,575,167,408 with Prime Factorization

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

2 x 3 x 5 x 107 x 77 x 115 x 167 x 68 = 322789189800

Therefore, the lowest common multiple of 642,770,575,167,408 is 322789189800.

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.

642 x 770 x 575 x 167 x 408 = 19367351388000

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

575 : 1, 5, 23, 25, 115, 575

167 : 1, 167

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 642,770,575,167,408, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

770:2x 5x 7x 11

575:5x 5x 23

167:167

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 19367351388000/(1x60)

LCM = 19367351388000/60

LCM = 322789189800

Thus, we can understand that the LCM of 642,770,575,167,408 is 322789189800.

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

• LCM of 682, 100, 162, 260, 166
• LCM of 868, 281, 484, 810, 236
• LCM of 355, 952, 871, 873, 596
• LCM of 484, 877, 245, 822, 542
• LCM of 722, 795, 493, 433, 493

1. What is the LCM of 642, 770, 575, 167, 408?

Answer: LCM of 642, 770, 575, 167, 408 is 322789189800.

2. How to calculate the LCM of 642, 770, 575, 167, 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 642, 770, 575, 167, 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}.