Given numbers are 394,842,408,614

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

The LCM of 394,842,408,614 is 10388356872.

Find LCM of 394,842,408,614 with Prime Factorization

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

2 x 197 x 421 x 204 x 307 = 10388356872

Therefore, the lowest common multiple of 394,842,408,614 is 10388356872.

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.

394 x 842 x 408 x 614 = 83106854976

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.

394 : 1, 2, 197, 394

842 : 1, 2, 421, 842

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

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,842,408,614, is 2.

Now, the common factors can be found like this.

394:2x 197

842:2x 421

408:2x 2x 2x 3x 17

614:2x 307

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 = 83106854976/(2x4)

LCM = 83106854976/8

LCM = 10388356872

Thus, we can understand that the LCM of 394,842,408,614 is 10388356872.

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

• LCM of 274, 108, 490, 553
• LCM of 673, 569, 319, 347
• LCM of 321, 398, 719, 543
• LCM of 759, 662, 633, 844
• LCM of 720, 589, 238, 840

1. What is the LCM of 394, 842, 408, 614?

Answer: LCM of 394, 842, 408, 614 is 10388356872.

2. How to calculate the LCM of 394, 842, 408, 614?

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 394, 842, 408, 614.

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}.