Given numbers are 908,516,924,306,372

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

The LCM of 908,516,924,306,372 is 14259298284.

Find LCM of 908,516,924,306,372 with Prime Factorization

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

2 x 2 x 3 x 227 x 43 x 77 x 51 x 31 = 14259298284

Therefore, the lowest common multiple of 908,516,924,306,372 is 14259298284.

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.

908 x 516 x 924 x 306 x 372 = 49280134869504

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.

908 : 1, 2, 4, 227, 454, 908

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,516,924,306,372, is 2.

Now, the common factors can be found like this.

908:2x 2x 227

516:2x 2x 3x 43

924:2x 2x 3x 7x 11

306:2x 3x 3x 17

372:2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 49280134869504/(2x1728)

LCM = 49280134869504/3456

LCM = 14259298284

Thus, we can understand that the LCM of 908,516,924,306,372 is 14259298284.

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

• LCM of 361, 627, 794, 651, 285
• LCM of 429, 548, 522, 112, 466
• LCM of 504, 601, 372, 960, 247
• LCM of 342, 674, 860, 703, 886
• LCM of 381, 465, 603, 511, 264

1. What is the LCM of 908, 516, 924, 306, 372?

Answer: LCM of 908, 516, 924, 306, 372 is 14259298284.

2. How to calculate the LCM of 908, 516, 924, 306, 372?

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 908, 516, 924, 306, 372.

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}.