Given numbers are 326,514,774,713,576

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

The LCM of 326,514,774,713,576 is 739777633344.

Find LCM of 326,514,774,713,576 with Prime Factorization

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

2 x 3 x 3 x 163 x 257 x 43 x 713 x 32 = 739777633344

Therefore, the lowest common multiple of 326,514,774,713,576 is 739777633344.

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.

326 x 514 x 774 x 713 x 576 = 53263989600768

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.

326 : 1, 2, 163, 326

514 : 1, 2, 257, 514

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

713 : 1, 23, 31, 713

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,514,774,713,576, is 1.

Now, the common factors can be found like this.

326:2x 163

514:2x 257

774:2x 3x 3x 43

713:23x 31

576:2x 2x 2x 2x 2x 2x 3x 3

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 53263989600768/(1x72)

LCM = 53263989600768/72

LCM = 739777633344

Thus, we can understand that the LCM of 326,514,774,713,576 is 739777633344.

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

• LCM of 689, 100, 262, 821, 504
• LCM of 523, 791, 903, 247, 140
• LCM of 489, 734, 916, 172, 922
• LCM of 443, 242, 428, 412, 268
• LCM of 294, 784, 389, 799, 399

1. What is the LCM of 326, 514, 774, 713, 576?

Answer: LCM of 326, 514, 774, 713, 576 is 739777633344.

2. How to calculate the LCM of 326, 514, 774, 713, 576?

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 326, 514, 774, 713, 576.

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}.