Given numbers are 488,407,346,173

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

The LCM of 488,407,346,173 is 34360568.

Find LCM of 488,407,346,173 with Prime Factorization

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

2 x 173 x 244 x 407 x 1 x 1 = 34360568

Therefore, the lowest common multiple of 488,407,346,173 is 34360568.

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 407 x 346 x 173 = 11888756528

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

407 : 1, 11, 37, 407

346 : 1, 2, 173, 346

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,407,346,173, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

407:11x 37

346:2x 173

173:173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 173 = 346

Therefore, the value for common factors is 346.

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 = 11888756528/(1x346)

LCM = 11888756528/346

LCM = 34360568

Thus, we can understand that the LCM of 488,407,346,173 is 34360568.

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

• LCM of 278, 648, 248, 847
• LCM of 890, 535, 497, 673
• LCM of 259, 644, 303, 122
• LCM of 359, 824, 533, 151
• LCM of 767, 624, 808, 495

1. What is the LCM of 488, 407, 346, 173?

Answer: LCM of 488, 407, 346, 173 is 34360568.

2. How to calculate the LCM of 488, 407, 346, 173?

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, 407, 346, 173.

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}.