Given numbers are 396,598,462,924,248

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

The LCM of 396,598,462,924,248 is 51387336.

Find LCM of 396,598,462,924,248 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 3 x 299 x 1 x 1 x 62 = 51387336

Therefore, the lowest common multiple of 396,598,462,924,248 is 51387336.

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.

396 x 598 x 462 x 924 x 248 = 25070442388992

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

598 : 1, 2, 13, 23, 26, 46, 299, 598

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

248 : 1, 2, 4, 8, 31, 62, 124, 248

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,598,462,924,248, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

598:2x 13x 23

462:2x 3x 7x 11

924:2x 2x 3x 7x 11

248:2x 2x 2x 31

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 3x 3x 7x 11x 11 = 243936

Therefore, the value for common factors is 243936.

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 = 25070442388992/(2x243936)

LCM = 25070442388992/487872

LCM = 51387336

Thus, we can understand that the LCM of 396,598,462,924,248 is 51387336.

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

• LCM of 976, 407, 214, 865, 105
• LCM of 801, 262, 707, 751, 706
• LCM of 380, 733, 866, 788, 163
• LCM of 982, 526, 988, 365, 781
• LCM of 127, 450, 506, 322, 372

1. What is the LCM of 396, 598, 462, 924, 248?

Answer: LCM of 396, 598, 462, 924, 248 is 51387336.

2. How to calculate the LCM of 396, 598, 462, 924, 248?

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 396, 598, 462, 924, 248.

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}.