Given numbers are 504,281,272,502,946

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

The LCM of 504,281,272,502,946 is 571676889168.

Find LCM of 504,281,272,502,946 with Prime Factorization

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

2 x 2 x 2 x 63 x 281 x 34 x 251 x 473 = 571676889168

Therefore, the lowest common multiple of 504,281,272,502,946 is 571676889168.

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.

504 x 281 x 272 x 502 x 946 = 18293660453376

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

281 : 1, 281

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

502 : 1, 2, 251, 502

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,281,272,502,946, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

281:281

272:2x 2x 2x 2x 17

502:2x 251

946:2x 11x 43

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 2 = 32

Therefore, the value for common factors is 32.

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 = 18293660453376/(1x32)

LCM = 18293660453376/32

LCM = 571676889168

Thus, we can understand that the LCM of 504,281,272,502,946 is 571676889168.

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

• LCM of 958, 951, 436, 379, 904
• LCM of 615, 801, 816, 174, 806
• LCM of 445, 826, 114, 850, 252
• LCM of 220, 308, 986, 361, 986
• LCM of 394, 234, 762, 543, 510

1. What is the LCM of 504, 281, 272, 502, 946?

Answer: LCM of 504, 281, 272, 502, 946 is 571676889168.

2. How to calculate the LCM of 504, 281, 272, 502, 946?

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 504, 281, 272, 502, 946.

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}.