Given numbers are 326,816,128,514,792

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

The LCM of 326,816,128,514,792 is 9024326784.

Find LCM of 326,816,128,514,792 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 163 x 17 x 8 x 257 x 33 = 9024326784

Therefore, the lowest common multiple of 326,816,128,514,792 is 9024326784.

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 816 x 128 x 514 x 792 = 13861365940224

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

128 : 1, 2, 4, 8, 16, 32, 64, 128

514 : 1, 2, 257, 514

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,816,128,514,792, is 2.

Now, the common factors can be found like this.

326:2x 163

816:2x 2x 2x 2x 3x 17

128:2x 2x 2x 2x 2x 2x 2

514:2x 257

792:2x 2x 2x 3x 3x 11

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 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 13861365940224/(2x768)

LCM = 13861365940224/1536

LCM = 9024326784

Thus, we can understand that the LCM of 326,816,128,514,792 is 9024326784.

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

• LCM of 940, 761, 518, 354, 778
• LCM of 786, 606, 973, 110, 492
• LCM of 489, 943, 608, 630, 406
• LCM of 288, 183, 649, 538, 491
• LCM of 492, 783, 144, 197, 822

1. What is the LCM of 326, 816, 128, 514, 792?

Answer: LCM of 326, 816, 128, 514, 792 is 9024326784.

2. How to calculate the LCM of 326, 816, 128, 514, 792?

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, 816, 128, 514, 792.

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}.