Given numbers are 766,322,331,338,792

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

The LCM of 766,322,331,338,792 is 2731898313144.

Find LCM of 766,322,331,338,792 with Prime Factorization

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

2 x 383 x 161 x 331 x 169 x 396 = 2731898313144

Therefore, the lowest common multiple of 766,322,331,338,792 is 2731898313144.

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.

766 x 322 x 331 x 338 x 792 = 21855186505152

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.

766 : 1, 2, 383, 766

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

331 : 1, 331

338 : 1, 2, 13, 26, 169, 338

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,322,331,338,792, is 1.

Now, the common factors can be found like this.

766:2x 383

322:2x 7x 23

331:331

338:2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21855186505152/(1x8)

LCM = 21855186505152/8

LCM = 2731898313144

Thus, we can understand that the LCM of 766,322,331,338,792 is 2731898313144.

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

• LCM of 594, 771, 548, 362, 985
• LCM of 996, 578, 907, 575, 769
• LCM of 423, 286, 990, 401, 168
• LCM of 130, 666, 397, 685, 420
• LCM of 158, 490, 405, 852, 767

1. What is the LCM of 766, 322, 331, 338, 792?

Answer: LCM of 766, 322, 331, 338, 792 is 2731898313144.

2. How to calculate the LCM of 766, 322, 331, 338, 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 766, 322, 331, 338, 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}.