Given numbers are 440,924,106,812

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

The LCM of 440,924,106,812 is 14201880.

Find LCM of 440,924,106,812 with Prime Factorization

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

2 x 2 x 7 x 11 x 10 x 3 x 53 x 29 = 14201880

Therefore, the lowest common multiple of 440,924,106,812 is 14201880.

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.

440 x 924 x 106 x 812 = 34993432320

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

106 : 1, 2, 53, 106

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,924,106,812, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

924:2x 2x 3x 7x 11

106:2x 53

812:2x 2x 7x 29

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 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 34993432320/(2x1232)

LCM = 34993432320/2464

LCM = 14201880

Thus, we can understand that the LCM of 440,924,106,812 is 14201880.

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

• LCM of 794, 882, 622, 980
• LCM of 995, 547, 222, 165
• LCM of 891, 257, 694, 361
• LCM of 927, 715, 293, 879
• LCM of 792, 932, 672, 652

1. What is the LCM of 440, 924, 106, 812?

Answer: LCM of 440, 924, 106, 812 is 14201880.

2. How to calculate the LCM of 440, 924, 106, 812?

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 440, 924, 106, 812.

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}.