Given numbers are 488,383,314

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

The LCM of 488,383,314 is 29343928.

Find LCM of 488,383,314 with Prime Factorization

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

2 x 244 x 383 x 157 = 29343928

Therefore, the lowest common multiple of 488,383,314 is 29343928.

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.

488 x 383 x 314 = 58687856

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

383 : 1, 383

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,383,314, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

383:383

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 58687856/(1x2)

LCM = 58687856/2

LCM = 29343928

Thus, we can understand that the LCM of 488,383,314 is 29343928.

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

• LCM of 858, 252, 953
• LCM of 532, 112, 714
• LCM of 469, 298, 309
• LCM of 274, 718, 522
• LCM of 187, 689, 446

1. What is the LCM of 488, 383, 314?

Answer: LCM of 488, 383, 314 is 29343928.

2. How to calculate the LCM of 488, 383, 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 488, 383, 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}.