Given numbers are 488,313,458

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

The LCM of 488,313,458 is 34978376.

Find LCM of 488,313,458 with Prime Factorization

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

2 x 244 x 313 x 229 = 34978376

Therefore, the lowest common multiple of 488,313,458 is 34978376.

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 313 x 458 = 69956752

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

313 : 1, 313

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,313,458, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

313:313

458:2x 229

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 = 69956752/(1x2)

LCM = 69956752/2

LCM = 34978376

Thus, we can understand that the LCM of 488,313,458 is 34978376.

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

• LCM of 657, 940, 389
• LCM of 703, 654, 858
• LCM of 936, 105, 924
• LCM of 793, 149, 978
• LCM of 304, 702, 123

1. What is the LCM of 488, 313, 458?

Answer: LCM of 488, 313, 458 is 34978376.

2. How to calculate the LCM of 488, 313, 458?

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, 313, 458.

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}.