Given numbers are 315,993,401,598,723

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

The LCM of 315,993,401,598,723 is 6025611771270.

Find LCM of 315,993,401,598,723 with Prime Factorization

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

3 x 105 x 331 x 401 x 598 x 241 = 6025611771270

Therefore, the lowest common multiple of 315,993,401,598,723 is 6025611771270.

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.

315 x 993 x 401 x 598 x 723 = 54230505941430

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

993 : 1, 3, 331, 993

401 : 1, 401

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,993,401,598,723, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

993:3x 331

401:401

598:2x 13x 23

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 54230505941430/(1x9)

LCM = 54230505941430/9

LCM = 6025611771270

Thus, we can understand that the LCM of 315,993,401,598,723 is 6025611771270.

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

• LCM of 545, 482, 765, 893, 362
• LCM of 997, 881, 829, 137, 986
• LCM of 442, 142, 579, 870, 123
• LCM of 871, 578, 138, 309, 357
• LCM of 227, 902, 452, 464, 218

1. What is the LCM of 315, 993, 401, 598, 723?

Answer: LCM of 315, 993, 401, 598, 723 is 6025611771270.

2. How to calculate the LCM of 315, 993, 401, 598, 723?

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 315, 993, 401, 598, 723.

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}.