Given numbers are 516,793,528,546

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

The LCM of 516,793,528,546 is 126029904.

Find LCM of 516,793,528,546 with Prime Factorization

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

2 x 2 x 3 x 13 x 43 x 61 x 44 x 7 = 126029904

Therefore, the lowest common multiple of 516,793,528,546 is 126029904.

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.

516 x 793 x 528 x 546 = 117963990144

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

793 : 1, 13, 61, 793

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,793,528,546, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

793:13x 61

528:2x 2x 2x 2x 3x 11

546:2x 3x 7x 13

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 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 117963990144/(1x936)

LCM = 117963990144/936

LCM = 126029904

Thus, we can understand that the LCM of 516,793,528,546 is 126029904.

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

• LCM of 120, 284, 633, 806
• LCM of 523, 402, 904, 820
• LCM of 220, 838, 318, 909
• LCM of 898, 711, 105, 615
• LCM of 806, 556, 202, 449

1. What is the LCM of 516, 793, 528, 546?

Answer: LCM of 516, 793, 528, 546 is 126029904.

2. How to calculate the LCM of 516, 793, 528, 546?

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 516, 793, 528, 546.

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}.