Given numbers are 394,868,743,292,408

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

The LCM of 394,868,743,292,408 is 946014508488.

Find LCM of 394,868,743,292,408 with Prime Factorization

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

2 x 2 x 197 x 217 x 743 x 73 x 102 = 946014508488

Therefore, the lowest common multiple of 394,868,743,292,408 is 946014508488.

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 868 x 743 x 292 x 408 = 30272464271616

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

743 : 1, 743

292 : 1, 2, 4, 73, 146, 292

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,868,743,292,408, is 1.

Now, the common factors can be found like this.

394:2x 197

868:2x 2x 7x 31

743:743

292:2x 2x 73

408:2x 2x 2x 3x 17

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 = 30272464271616/(1x32)

LCM = 30272464271616/32

LCM = 946014508488

Thus, we can understand that the LCM of 394,868,743,292,408 is 946014508488.

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

• LCM of 529, 517, 885, 764, 991
• LCM of 530, 895, 743, 551, 640
• LCM of 902, 787, 441, 700, 510
• LCM of 735, 840, 845, 531, 353
• LCM of 108, 815, 895, 353, 396

1. What is the LCM of 394, 868, 743, 292, 408?

Answer: LCM of 394, 868, 743, 292, 408 is 946014508488.

2. How to calculate the LCM of 394, 868, 743, 292, 408?

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, 868, 743, 292, 408.

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}.