Given numbers are 538,326,874,792,830

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

The LCM of 538,326,874,792,830 is 6297883166520.

Find LCM of 538,326,874,792,830 with Prime Factorization

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

2 x 269 x 163 x 437 x 396 x 415 = 6297883166520

Therefore, the lowest common multiple of 538,326,874,792,830 is 6297883166520.

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.

538 x 326 x 874 x 792 x 830 = 100766130664320

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.

538 : 1, 2, 269, 538

326 : 1, 2, 163, 326

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

830 : 1, 2, 5, 10, 83, 166, 415, 830

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,326,874,792,830, is 2.

Now, the common factors can be found like this.

538:2x 269

326:2x 163

874:2x 19x 23

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

830:2x 5x 83

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 = 100766130664320/(2x8)

LCM = 100766130664320/16

LCM = 6297883166520

Thus, we can understand that the LCM of 538,326,874,792,830 is 6297883166520.

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

• LCM of 434, 289, 683, 878, 304
• LCM of 221, 425, 931, 138, 535
• LCM of 227, 923, 633, 459, 884
• LCM of 137, 798, 585, 857, 807
• LCM of 347, 939, 992, 996, 496

1. What is the LCM of 538, 326, 874, 792, 830?

Answer: LCM of 538, 326, 874, 792, 830 is 6297883166520.

2. How to calculate the LCM of 538, 326, 874, 792, 830?

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 538, 326, 874, 792, 830.

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}.