Given numbers are 488,340,908,408,755

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

The LCM of 488,340,908,408,755 is 4265429880.

Find LCM of 488,340,908,408,755 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 61 x 1 x 227 x 3 x 151 = 4265429880

Therefore, the lowest common multiple of 488,340,908,408,755 is 4265429880.

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 340 x 908 x 408 x 755 = 46407877094400

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

908 : 1, 2, 4, 227, 454, 908

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,340,908,408,755, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

340:2x 2x 5x 17

908:2x 2x 227

408:2x 2x 2x 3x 17

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 2x 2x 2x 2x 5x 17 = 10880

Therefore, the value for common factors is 10880.

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 = 46407877094400/(1x10880)

LCM = 46407877094400/10880

LCM = 4265429880

Thus, we can understand that the LCM of 488,340,908,408,755 is 4265429880.

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

• LCM of 262, 262, 568, 105, 823
• LCM of 108, 217, 546, 611, 328
• LCM of 872, 118, 282, 820, 980
• LCM of 381, 992, 659, 774, 275
• LCM of 236, 809, 851, 151, 692

1. What is the LCM of 488, 340, 908, 408, 755?

Answer: LCM of 488, 340, 908, 408, 755 is 4265429880.

2. How to calculate the LCM of 488, 340, 908, 408, 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, 340, 908, 408, 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}.