Given numbers are 372,120,394,258,336

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

The LCM of 372,120,394,258,336 is 441169680.

Find LCM of 372,120,394,258,336 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 5 x 197 x 43 x 14 = 441169680

Therefore, the lowest common multiple of 372,120,394,258,336 is 441169680.

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.

372 x 120 x 394 x 258 x 336 = 1524682414080

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.

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

394 : 1, 2, 197, 394

258 : 1, 2, 3, 6, 43, 86, 129, 258

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,120,394,258,336, is 2.

Now, the common factors can be found like this.

372:2x 2x 3x 31

120:2x 2x 2x 3x 5

394:2x 197

258:2x 3x 43

336:2x 2x 2x 2x 3x 7

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 = 1524682414080/(2x1728)

LCM = 1524682414080/3456

LCM = 441169680

Thus, we can understand that the LCM of 372,120,394,258,336 is 441169680.

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

• LCM of 961, 521, 108, 170, 212
• LCM of 994, 982, 886, 624, 313
• LCM of 541, 948, 563, 634, 352
• LCM of 795, 386, 774, 430, 609
• LCM of 798, 345, 725, 930, 253

1. What is the LCM of 372, 120, 394, 258, 336?

Answer: LCM of 372, 120, 394, 258, 336 is 441169680.

2. How to calculate the LCM of 372, 120, 394, 258, 336?

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 372, 120, 394, 258, 336.

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}.