Given numbers are 488,473,257,596,960

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

The LCM of 488,473,257,596,960 is 1060673211840.

Find LCM of 488,473,257,596,960 with Prime Factorization

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

2 x 2 x 2 x 61 x 473 x 257 x 149 x 120 = 1060673211840

Therefore, the lowest common multiple of 488,473,257,596,960 is 1060673211840.

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 473 x 257 x 596 x 960 = 33941542778880

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

473 : 1, 11, 43, 473

257 : 1, 257

596 : 1, 2, 4, 149, 298, 596

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,473,257,596,960, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

473:11x 43

257:257

596:2x 2x 149

960:2x 2x 2x 2x 2x 2x 3x 5

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 2 = 32

Therefore, the value for common factors is 32.

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 = 33941542778880/(1x32)

LCM = 33941542778880/32

LCM = 1060673211840

Thus, we can understand that the LCM of 488,473,257,596,960 is 1060673211840.

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

• LCM of 834, 602, 805, 837, 168
• LCM of 208, 639, 975, 472, 143
• LCM of 706, 699, 704, 323, 950
• LCM of 991, 656, 819, 495, 507
• LCM of 740, 176, 823, 298, 334

1. What is the LCM of 488, 473, 257, 596, 960?

Answer: LCM of 488, 473, 257, 596, 960 is 1060673211840.

2. How to calculate the LCM of 488, 473, 257, 596, 960?

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, 473, 257, 596, 960.

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}.