Given numbers are 505,312,281,351,997

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

The LCM of 505,312,281,351,997 is 397273832280.

Find LCM of 505,312,281,351,997 with Prime Factorization

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

3 x 13 x 505 x 8 x 281 x 9 x 997 = 397273832280

Therefore, the lowest common multiple of 505,312,281,351,997 is 397273832280.

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.

505 x 312 x 281 x 351 x 997 = 15493679458920

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.

505 : 1, 5, 101, 505

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

281 : 1, 281

351 : 1, 3, 9, 13, 27, 39, 117, 351

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,312,281,351,997, is 1.

Now, the common factors can be found like this.

505:5x 101

312:2x 2x 2x 3x 13

281:281

351:3x 3x 3x 13

997:997

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 15493679458920/(1x39)

LCM = 15493679458920/39

LCM = 397273832280

Thus, we can understand that the LCM of 505,312,281,351,997 is 397273832280.

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

• LCM of 585, 902, 144, 578, 577
• LCM of 748, 829, 258, 284, 538
• LCM of 738, 209, 503, 907, 334
• LCM of 144, 256, 110, 196, 111
• LCM of 649, 512, 577, 157, 438

1. What is the LCM of 505, 312, 281, 351, 997?

Answer: LCM of 505, 312, 281, 351, 997 is 397273832280.

2. How to calculate the LCM of 505, 312, 281, 351, 997?

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 505, 312, 281, 351, 997.

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}.