Given numbers are 738,809,822,624

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

The LCM of 738,809,822,624 is 8506654416.

Find LCM of 738,809,822,624 with Prime Factorization

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

2 x 3 x 123 x 809 x 137 x 104 = 8506654416

Therefore, the lowest common multiple of 738,809,822,624 is 8506654416.

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.

738 x 809 x 822 x 624 = 306239558976

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

809 : 1, 809

822 : 1, 2, 3, 6, 137, 274, 411, 822

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,809,822,624, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

809:809

822:2x 3x 137

624:2x 2x 2x 2x 3x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 306239558976/(1x36)

LCM = 306239558976/36

LCM = 8506654416

Thus, we can understand that the LCM of 738,809,822,624 is 8506654416.

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

• LCM of 101, 989, 645, 423
• LCM of 653, 398, 380, 138
• LCM of 771, 504, 545, 444
• LCM of 984, 711, 632, 573
• LCM of 802, 700, 506, 957

1. What is the LCM of 738, 809, 822, 624?

Answer: LCM of 738, 809, 822, 624 is 8506654416.

2. How to calculate the LCM of 738, 809, 822, 624?

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 738, 809, 822, 624.

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}.