Given numbers are 488,940,687,268,596

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

The LCM of 488,940,687,268,596 is 786512252280.

Find LCM of 488,940,687,268,596 with Prime Factorization

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

2 x 2 x 122 x 235 x 687 x 67 x 149 = 786512252280

Therefore, the lowest common multiple of 488,940,687,268,596 is 786512252280.

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 940 x 687 x 268 x 596 = 50336784145920

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

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

687 : 1, 3, 229, 687

268 : 1, 2, 4, 67, 134, 268

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,940,687,268,596, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

940:2x 2x 5x 47

687:3x 229

268:2x 2x 67

596:2x 2x 149

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 2 = 64

Therefore, the value for common factors is 64.

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 = 50336784145920/(1x64)

LCM = 50336784145920/64

LCM = 786512252280

Thus, we can understand that the LCM of 488,940,687,268,596 is 786512252280.

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

• LCM of 648, 134, 685, 495, 822
• LCM of 915, 436, 511, 499, 513
• LCM of 401, 181, 672, 782, 237
• LCM of 885, 312, 945, 936, 789
• LCM of 598, 123, 214, 227, 953

1. What is the LCM of 488, 940, 687, 268, 596?

Answer: LCM of 488, 940, 687, 268, 596 is 786512252280.

2. How to calculate the LCM of 488, 940, 687, 268, 596?

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, 940, 687, 268, 596.

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}.