Given numbers are 395,871,509,208,493

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

The LCM of 395,871,509,208,493 is 1381337922640.

Find LCM of 395,871,509,208,493 with Prime Factorization

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

13 x 395 x 67 x 509 x 16 x 493 = 1381337922640

Therefore, the lowest common multiple of 395,871,509,208,493 is 1381337922640.

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.

395 x 871 x 509 x 208 x 493 = 17957392994320

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.

395 : 1, 5, 79, 395

871 : 1, 13, 67, 871

509 : 1, 509

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,871,509,208,493, is 1.

Now, the common factors can be found like this.

395:5x 79

871:13x 67

509:509

208:2x 2x 2x 2x 13

493:17x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 17957392994320/(1x13)

LCM = 17957392994320/13

LCM = 1381337922640

Thus, we can understand that the LCM of 395,871,509,208,493 is 1381337922640.

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

• LCM of 186, 451, 571, 979, 161
• LCM of 584, 402, 301, 172, 663
• LCM of 426, 829, 657, 164, 806
• LCM of 395, 734, 705, 784, 454
• LCM of 469, 597, 283, 344, 475

1. What is the LCM of 395, 871, 509, 208, 493?

Answer: LCM of 395, 871, 509, 208, 493 is 1381337922640.

2. How to calculate the LCM of 395, 871, 509, 208, 493?

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 395, 871, 509, 208, 493.

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}.