Given numbers are 310,394,354,118

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

The LCM of 310,394,354,118 is 10809390.

Find LCM of 310,394,354,118 with Prime Factorization

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

2 x 59 x 155 x 197 x 3 x 1 = 10809390

Therefore, the lowest common multiple of 310,394,354,118 is 10809390.

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.

310 x 394 x 354 x 118 = 5102032080

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

394 : 1, 2, 197, 394

354 : 1, 2, 3, 6, 59, 118, 177, 354

118 : 1, 2, 59, 118

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,394,354,118, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

394:2x 197

354:2x 3x 59

118:2x 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 59 = 236

Therefore, the value for common factors is 236.

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 = 5102032080/(2x236)

LCM = 5102032080/472

LCM = 10809390

Thus, we can understand that the LCM of 310,394,354,118 is 10809390.

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

• LCM of 905, 478, 247, 524
• LCM of 517, 592, 200, 449
• LCM of 478, 437, 199, 393
• LCM of 315, 127, 601, 371
• LCM of 680, 794, 923, 550

1. What is the LCM of 310, 394, 354, 118?

Answer: LCM of 310, 394, 354, 118 is 10809390.

2. How to calculate the LCM of 310, 394, 354, 118?

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 310, 394, 354, 118.

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}.