Given numbers are 488,467,366,434

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

The LCM of 488,467,366,434 is 148360296.

Find LCM of 488,467,366,434 with Prime Factorization

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

2 x 61 x 4 x 467 x 3 x 217 = 148360296

Therefore, the lowest common multiple of 488,467,366,434 is 148360296.

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 467 x 366 x 434 = 36199912224

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

467 : 1, 467

366 : 1, 2, 3, 6, 61, 122, 183, 366

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,467,366,434, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

467:467

366:2x 3x 61

434:2x 7x 31

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 61 = 244

Therefore, the value for common factors is 244.

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 = 36199912224/(1x244)

LCM = 36199912224/244

LCM = 148360296

Thus, we can understand that the LCM of 488,467,366,434 is 148360296.

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

• LCM of 725, 935, 458, 163
• LCM of 671, 256, 513, 773
• LCM of 224, 772, 474, 401
• LCM of 491, 628, 232, 383
• LCM of 815, 794, 840, 450

1. What is the LCM of 488, 467, 366, 434?

Answer: LCM of 488, 467, 366, 434 is 148360296.

2. How to calculate the LCM of 488, 467, 366, 434?

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, 467, 366, 434.

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}.