Given numbers are 517,370,648,460,394

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

The LCM of 517,370,648,460,394 is 280822136760.

Find LCM of 517,370,648,460,394 with Prime Factorization

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

2 x 2 x 5 x 517 x 37 x 162 x 23 x 197 = 280822136760

Therefore, the lowest common multiple of 517,370,648,460,394 is 280822136760.

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.

517 x 370 x 648 x 460 x 394 = 22465770940800

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.

517 : 1, 11, 47, 517

370 : 1, 2, 5, 10, 37, 74, 185, 370

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,370,648,460,394, is 1.

Now, the common factors can be found like this.

517:11x 47

370:2x 5x 37

648:2x 2x 2x 3x 3x 3x 3

460:2x 2x 5x 23

394:2x 197

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 5 = 80

Therefore, the value for common factors is 80.

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 = 22465770940800/(1x80)

LCM = 22465770940800/80

LCM = 280822136760

Thus, we can understand that the LCM of 517,370,648,460,394 is 280822136760.

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

• LCM of 542, 211, 463, 996, 792
• LCM of 572, 435, 987, 229, 702
• LCM of 466, 918, 199, 639, 502
• LCM of 229, 992, 162, 750, 478
• LCM of 763, 140, 980, 618, 264

1. What is the LCM of 517, 370, 648, 460, 394?

Answer: LCM of 517, 370, 648, 460, 394 is 280822136760.

2. How to calculate the LCM of 517, 370, 648, 460, 394?

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 517, 370, 648, 460, 394.

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}.