Given numbers are 261,247,504,614,608

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

The LCM of 261,247,504,614,608 is 4433266656.

Find LCM of 261,247,504,614,608 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 19 x 29 x 13 x 7 x 307 x 4 = 4433266656

Therefore, the lowest common multiple of 261,247,504,614,608 is 4433266656.

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.

261 x 247 x 504 x 614 x 608 = 12129417570816

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.

261 : 1, 3, 9, 29, 87, 261

247 : 1, 13, 19, 247

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

614 : 1, 2, 307, 614

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,247,504,614,608, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

247:13x 19

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

614:2x 307

608:2x 2x 2x 2x 2x 19

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 3x 3x 19 = 2736

Therefore, the value for common factors is 2736.

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 = 12129417570816/(1x2736)

LCM = 12129417570816/2736

LCM = 4433266656

Thus, we can understand that the LCM of 261,247,504,614,608 is 4433266656.

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

• LCM of 997, 806, 858, 432, 858
• LCM of 916, 694, 191, 951, 732
• LCM of 617, 724, 185, 191, 215
• LCM of 662, 770, 143, 989, 549
• LCM of 228, 310, 286, 724, 107

1. What is the LCM of 261, 247, 504, 614, 608?

Answer: LCM of 261, 247, 504, 614, 608 is 4433266656.

2. How to calculate the LCM of 261, 247, 504, 614, 608?

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 261, 247, 504, 614, 608.

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}.