Given numbers are 318,321,344,838

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

The LCM of 318,321,344,838 is 2452185768.

Find LCM of 318,321,344,838 with Prime Factorization

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

2 x 3 x 53 x 107 x 172 x 419 = 2452185768

Therefore, the lowest common multiple of 318,321,344,838 is 2452185768.

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.

318 x 321 x 344 x 838 = 29426229216

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

321 : 1, 3, 107, 321

344 : 1, 2, 4, 8, 43, 86, 172, 344

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,321,344,838, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

321:3x 107

344:2x 2x 2x 43

838:2x 419

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 3 = 12

Therefore, the value for common factors is 12.

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 = 29426229216/(1x12)

LCM = 29426229216/12

LCM = 2452185768

Thus, we can understand that the LCM of 318,321,344,838 is 2452185768.

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

• LCM of 695, 532, 112, 757
• LCM of 867, 235, 806, 295
• LCM of 794, 158, 265, 524
• LCM of 930, 686, 778, 701
• LCM of 169, 551, 928, 509

1. What is the LCM of 318, 321, 344, 838?

Answer: LCM of 318, 321, 344, 838 is 2452185768.

2. How to calculate the LCM of 318, 321, 344, 838?

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 318, 321, 344, 838.

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}.