Given numbers are 812,160,418,922,413

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

The LCM of 812,160,418,922,413 is 184635515680.

Find LCM of 812,160,418,922,413 with Prime Factorization

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

2 x 2 x 7 x 29 x 40 x 209 x 461 x 59 = 184635515680

Therefore, the lowest common multiple of 812,160,418,922,413 is 184635515680.

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.

812 x 160 x 418 x 922 x 413 = 20679177756160

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.

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

418 : 1, 2, 11, 19, 22, 38, 209, 418

922 : 1, 2, 461, 922

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,160,418,922,413, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

160:2x 2x 2x 2x 2x 5

418:2x 11x 19

922:2x 461

413:7x 59

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 7 = 112

Therefore, the value for common factors is 112.

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 = 20679177756160/(1x112)

LCM = 20679177756160/112

LCM = 184635515680

Thus, we can understand that the LCM of 812,160,418,922,413 is 184635515680.

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

• LCM of 108, 610, 766, 599, 724
• LCM of 549, 545, 576, 947, 136
• LCM of 976, 364, 912, 190, 412
• LCM of 497, 412, 501, 720, 659
• LCM of 913, 521, 259, 630, 588

1. What is the LCM of 812, 160, 418, 922, 413?

Answer: LCM of 812, 160, 418, 922, 413 is 184635515680.

2. How to calculate the LCM of 812, 160, 418, 922, 413?

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 812, 160, 418, 922, 413.

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}.