Given numbers are 397,723,723,924,408

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

The LCM of 397,723,723,924,408 is 3005788632.

Find LCM of 397,723,723,924,408 with Prime Factorization

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

2 x 2 x 3 x 241 x 397 x 1 x 1 x 77 x 34 = 3005788632

Therefore, the lowest common multiple of 397,723,723,924,408 is 3005788632.

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.

397 x 723 x 723 x 924 x 408 = 78234666513696

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.

397 : 1, 397

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

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

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 397,723,723,924,408, is 1.

Now, the common factors can be found like this.

397:397

723:3x 241

723:3x 241

924:2x 2x 3x 7x 11

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 3x 3x 3x 241 = 26028

Therefore, the value for common factors is 26028.

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 = 78234666513696/(1x26028)

LCM = 78234666513696/26028

LCM = 3005788632

Thus, we can understand that the LCM of 397,723,723,924,408 is 3005788632.

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

• LCM of 443, 775, 428, 374, 336
• LCM of 398, 780, 818, 821, 226
• LCM of 392, 786, 172, 279, 196
• LCM of 845, 993, 530, 712, 557
• LCM of 323, 971, 695, 386, 793

1. What is the LCM of 397, 723, 723, 924, 408?

Answer: LCM of 397, 723, 723, 924, 408 is 3005788632.

2. How to calculate the LCM of 397, 723, 723, 924, 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 397, 723, 723, 924, 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}.