Given numbers are 822,910,900,930

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

The LCM of 822,910,900,930 is 347829300.

Find LCM of 822,910,900,930 with Prime Factorization

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

2 x 3 x 5 x 137 x 91 x 30 x 31 = 347829300

Therefore, the lowest common multiple of 822,910,900,930 is 347829300.

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.

822 x 910 x 900 x 930 = 626092740000

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.

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,910,900,930, is 2.

Now, the common factors can be found like this.

822:2x 3x 137

910:2x 5x 7x 13

900:2x 2x 3x 3x 5x 5

930:2x 3x 5x 31

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 5 = 900

Therefore, the value for common factors is 900.

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 = 626092740000/(2x900)

LCM = 626092740000/1800

LCM = 347829300

Thus, we can understand that the LCM of 822,910,900,930 is 347829300.

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

• LCM of 467, 114, 630, 361
• LCM of 334, 589, 836, 103
• LCM of 546, 161, 531, 320
• LCM of 829, 520, 642, 301
• LCM of 560, 613, 727, 560

1. What is the LCM of 822, 910, 900, 930?

Answer: LCM of 822, 910, 900, 930 is 347829300.

2. How to calculate the LCM of 822, 910, 900, 930?

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 822, 910, 900, 930.

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}.