Given numbers are 322,710,814,257

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

The LCM of 322,710,814,257 is 11956711690.

Find LCM of 322,710,814,257 with Prime Factorization

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

2 x 161 x 355 x 407 x 257 = 11956711690

Therefore, the lowest common multiple of 322,710,814,257 is 11956711690.

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.

322 x 710 x 814 x 257 = 47826846760

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

710 : 1, 2, 5, 10, 71, 142, 355, 710

814 : 1, 2, 11, 22, 37, 74, 407, 814

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,710,814,257, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

710:2x 5x 71

814:2x 11x 37

257:257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47826846760/(1x4)

LCM = 47826846760/4

LCM = 11956711690

Thus, we can understand that the LCM of 322,710,814,257 is 11956711690.

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

• LCM of 148, 541, 356, 527
• LCM of 758, 128, 817, 800
• LCM of 969, 581, 656, 758
• LCM of 932, 554, 720, 711
• LCM of 805, 369, 439, 524

1. What is the LCM of 322, 710, 814, 257?

Answer: LCM of 322, 710, 814, 257 is 11956711690.

2. How to calculate the LCM of 322, 710, 814, 257?

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 322, 710, 814, 257.

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}.