Given numbers are 816,212,272,372,407

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

The LCM of 816,212,272,372,407 is 545660016.

Find LCM of 816,212,272,372,407 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 53 x 1 x 31 x 407 = 545660016

Therefore, the lowest common multiple of 816,212,272,372,407 is 545660016.

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.

816 x 212 x 272 x 372 x 407 = 7124137168896

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

212 : 1, 2, 4, 53, 106, 212

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,212,272,372,407, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

212:2x 2x 53

272:2x 2x 2x 2x 17

372:2x 2x 3x 31

407:11x 37

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 2x 2x 2x 2x 3x 17 = 13056

Therefore, the value for common factors is 13056.

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 = 7124137168896/(1x13056)

LCM = 7124137168896/13056

LCM = 545660016

Thus, we can understand that the LCM of 816,212,272,372,407 is 545660016.

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

• LCM of 244, 736, 714, 147, 197
• LCM of 613, 878, 237, 267, 906
• LCM of 258, 904, 851, 578, 684
• LCM of 987, 820, 188, 477, 351
• LCM of 707, 544, 323, 336, 371

1. What is the LCM of 816, 212, 272, 372, 407?

Answer: LCM of 816, 212, 272, 372, 407 is 545660016.

2. How to calculate the LCM of 816, 212, 272, 372, 407?

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 816, 212, 272, 372, 407.

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}.