Given numbers are 772,361,504,284,724

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

The LCM of 772,361,504,284,724 is 451265332392.

Find LCM of 772,361,504,284,724 with Prime Factorization

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

2 x 2 x 193 x 361 x 126 x 71 x 181 = 451265332392

Therefore, the lowest common multiple of 772,361,504,284,724 is 451265332392.

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.

772 x 361 x 504 x 284 x 724 = 28880981273088

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.

772 : 1, 2, 4, 193, 386, 772

361 : 1, 19, 361

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

284 : 1, 2, 4, 71, 142, 284

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,361,504,284,724, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

361:19x 19

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

284:2x 2x 71

724:2x 2x 181

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 28880981273088/(1x64)

LCM = 28880981273088/64

LCM = 451265332392

Thus, we can understand that the LCM of 772,361,504,284,724 is 451265332392.

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

• LCM of 773, 679, 380, 797, 945
• LCM of 631, 388, 748, 159, 133
• LCM of 919, 449, 638, 866, 289
• LCM of 224, 152, 658, 227, 509
• LCM of 585, 106, 225, 236, 691

1. What is the LCM of 772, 361, 504, 284, 724?

Answer: LCM of 772, 361, 504, 284, 724 is 451265332392.

2. How to calculate the LCM of 772, 361, 504, 284, 724?

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 772, 361, 504, 284, 724.

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}.