Given numbers are 246,104,199,338,314

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

The LCM of 246,104,199,338,314 is 5195585928.

Find LCM of 246,104,199,338,314 with Prime Factorization

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

2 x 13 x 123 x 4 x 199 x 13 x 157 = 5195585928

Therefore, the lowest common multiple of 246,104,199,338,314 is 5195585928.

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.

246 x 104 x 199 x 338 x 314 = 540340936512

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

104 : 1, 2, 4, 8, 13, 26, 52, 104

199 : 1, 199

338 : 1, 2, 13, 26, 169, 338

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,104,199,338,314, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

104:2x 2x 2x 13

199:199

338:2x 13x 13

314:2x 157

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 13 = 104

Therefore, the value for common factors is 104.

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 = 540340936512/(1x104)

LCM = 540340936512/104

LCM = 5195585928

Thus, we can understand that the LCM of 246,104,199,338,314 is 5195585928.

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

• LCM of 277, 381, 387, 421, 509
• LCM of 519, 417, 308, 354, 506
• LCM of 457, 314, 601, 625, 624
• LCM of 610, 402, 888, 560, 436
• LCM of 408, 547, 468, 127, 718

1. What is the LCM of 246, 104, 199, 338, 314?

Answer: LCM of 246, 104, 199, 338, 314 is 5195585928.

2. How to calculate the LCM of 246, 104, 199, 338, 314?

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 246, 104, 199, 338, 314.

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}.