Given numbers are 488,560,177,125,755

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

The LCM of 488,560,177,125,755 is 22824858000.

Find LCM of 488,560,177,125,755 with Prime Factorization

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

2 x 2 x 2 x 5 x 61 x 14 x 177 x 25 x 151 = 22824858000

Therefore, the lowest common multiple of 488,560,177,125,755 is 22824858000.

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 560 x 177 x 125 x 755 = 4564971600000

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

177 : 1, 3, 59, 177

125 : 1, 5, 25, 125

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,560,177,125,755, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

560:2x 2x 2x 2x 5x 7

177:3x 59

125:5x 5x 5

755:5x 151

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 4564971600000/(1x200)

LCM = 4564971600000/200

LCM = 22824858000

Thus, we can understand that the LCM of 488,560,177,125,755 is 22824858000.

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

• LCM of 977, 860, 378, 139, 984
• LCM of 768, 163, 241, 208, 118
• LCM of 478, 315, 771, 543, 969
• LCM of 922, 158, 695, 749, 853
• LCM of 219, 616, 339, 819, 101

1. What is the LCM of 488, 560, 177, 125, 755?

Answer: LCM of 488, 560, 177, 125, 755 is 22824858000.

2. How to calculate the LCM of 488, 560, 177, 125, 755?

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, 560, 177, 125, 755.

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}.