Given numbers are 756,417,396,612

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

The LCM of 756,417,396,612 is 19650708.

Find LCM of 756,417,396,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 139 x 11 x 17 = 19650708

Therefore, the lowest common multiple of 756,417,396,612 is 19650708.

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.

756 x 417 x 396 x 612 = 76401952704

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

417 : 1, 3, 139, 417

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,417,396,612, is 3.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

417:3x 139

396:2x 2x 3x 3x 11

612:2x 2x 3x 3x 17

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 76401952704/(3x1296)

LCM = 76401952704/3888

LCM = 19650708

Thus, we can understand that the LCM of 756,417,396,612 is 19650708.

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

• LCM of 111, 914, 112, 811
• LCM of 698, 556, 150, 176
• LCM of 780, 813, 469, 183
• LCM of 831, 898, 379, 927
• LCM of 624, 596, 667, 186

1. What is the LCM of 756, 417, 396, 612?

Answer: LCM of 756, 417, 396, 612 is 19650708.

2. How to calculate the LCM of 756, 417, 396, 612?

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 756, 417, 396, 612.

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}.