Given numbers are 780,546,563,450,167

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

The LCM of 780,546,563,450,167 is 7700319900.

Find LCM of 780,546,563,450,167 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 7 x 563 x 15 x 167 = 7700319900

Therefore, the lowest common multiple of 780,546,563,450,167 is 7700319900.

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.

780 x 546 x 563 x 450 x 167 = 18018748566000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

563 : 1, 563

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,546,563,450,167, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

546:2x 3x 7x 13

563:563

450:2x 3x 3x 5x 5

167:167

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 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 18018748566000/(1x2340)

LCM = 18018748566000/2340

LCM = 7700319900

Thus, we can understand that the LCM of 780,546,563,450,167 is 7700319900.

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

• LCM of 607, 752, 895, 578, 199
• LCM of 164, 714, 388, 402, 515
• LCM of 447, 205, 751, 832, 452
• LCM of 954, 789, 363, 320, 112
• LCM of 601, 650, 799, 616, 986

1. What is the LCM of 780, 546, 563, 450, 167?

Answer: LCM of 780, 546, 563, 450, 167 is 7700319900.

2. How to calculate the LCM of 780, 546, 563, 450, 167?

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 780, 546, 563, 450, 167.

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}.