Given numbers are 488,645,324,480,554

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

The LCM of 488,645,324,480,554 is 9416360160.

Find LCM of 488,645,324,480,554 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 61 x 43 x 27 x 4 x 277 = 9416360160

Therefore, the lowest common multiple of 488,645,324,480,554 is 9416360160.

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 645 x 324 x 480 x 554 = 27119117260800

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,645,324,480,554, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

645:3x 5x 43

324:2x 2x 3x 3x 3x 3

480:2x 2x 2x 2x 2x 3x 5

554:2x 277

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 2x 2x 2x 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 27119117260800/(1x2880)

LCM = 27119117260800/2880

LCM = 9416360160

Thus, we can understand that the LCM of 488,645,324,480,554 is 9416360160.

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

• LCM of 843, 409, 828, 728, 757
• LCM of 383, 462, 569, 649, 649
• LCM of 308, 191, 191, 938, 627
• LCM of 832, 960, 173, 662, 876
• LCM of 780, 426, 688, 100, 252

1. What is the LCM of 488, 645, 324, 480, 554?

Answer: LCM of 488, 645, 324, 480, 554 is 9416360160.

2. How to calculate the LCM of 488, 645, 324, 480, 554?

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, 645, 324, 480, 554.

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}.