Given numbers are 696,723,546,675

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

The LCM of 696,723,546,675 is 3434394600.

Find LCM of 696,723,546,675 with Prime Factorization

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

2 x 3 x 116 x 241 x 91 x 225 = 3434394600

Therefore, the lowest common multiple of 696,723,546,675 is 3434394600.

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.

696 x 723 x 546 x 675 = 185457308400

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

723 : 1, 3, 241, 723

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,723,546,675, is 3.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

723:3x 241

546:2x 3x 7x 13

675:3x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 185457308400/(3x18)

LCM = 185457308400/54

LCM = 3434394600

Thus, we can understand that the LCM of 696,723,546,675 is 3434394600.

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

• LCM of 114, 501, 110, 337
• LCM of 750, 551, 132, 130
• LCM of 407, 206, 900, 858
• LCM of 877, 960, 357, 577
• LCM of 633, 207, 498, 356

1. What is the LCM of 696, 723, 546, 675?

Answer: LCM of 696, 723, 546, 675 is 3434394600.

2. How to calculate the LCM of 696, 723, 546, 675?

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 696, 723, 546, 675.

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}.