Given numbers are 506,382,871,586

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

The LCM of 506,382,871,586 is 24664349138.

Find LCM of 506,382,871,586 with Prime Factorization

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

2 x 253 x 191 x 871 x 293 = 24664349138

Therefore, the lowest common multiple of 506,382,871,586 is 24664349138.

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.

506 x 382 x 871 x 586 = 98657396552

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

382 : 1, 2, 191, 382

871 : 1, 13, 67, 871

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,382,871,586, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

382:2x 191

871:13x 67

586:2x 293

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98657396552/(1x4)

LCM = 98657396552/4

LCM = 24664349138

Thus, we can understand that the LCM of 506,382,871,586 is 24664349138.

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

• LCM of 402, 188, 541, 214
• LCM of 189, 328, 108, 355
• LCM of 268, 975, 667, 511
• LCM of 196, 877, 467, 722
• LCM of 899, 738, 114, 676

1. What is the LCM of 506, 382, 871, 586?

Answer: LCM of 506, 382, 871, 586 is 24664349138.

2. How to calculate the LCM of 506, 382, 871, 586?

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 506, 382, 871, 586.

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}.