Given numbers are 518,728,216,394,420

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

The LCM of 518,728,216,394,420 is 716362920.

Find LCM of 518,728,216,394,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 37 x 13 x 9 x 197 x 5 = 716362920

Therefore, the lowest common multiple of 518,728,216,394,420 is 716362920.

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.

518 x 728 x 216 x 394 x 420 = 13479084702720

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

394 : 1, 2, 197, 394

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,728,216,394,420, is 2.

Now, the common factors can be found like this.

518:2x 7x 37

728:2x 2x 2x 7x 13

216:2x 2x 2x 3x 3x 3

394:2x 197

420:2x 2x 3x 5x 7

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 2x 2x 3x 7x 7 = 9408

Therefore, the value for common factors is 9408.

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 = 13479084702720/(2x9408)

LCM = 13479084702720/18816

LCM = 716362920

Thus, we can understand that the LCM of 518,728,216,394,420 is 716362920.

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

• LCM of 321, 929, 957, 231, 315
• LCM of 453, 759, 105, 603, 361
• LCM of 571, 763, 375, 370, 339
• LCM of 472, 527, 221, 694, 731
• LCM of 595, 108, 603, 808, 973

1. What is the LCM of 518, 728, 216, 394, 420?

Answer: LCM of 518, 728, 216, 394, 420 is 716362920.

2. How to calculate the LCM of 518, 728, 216, 394, 420?

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 518, 728, 216, 394, 420.

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}.