Given numbers are 273,706,306,720

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

The LCM of 273,706,306,720 is 393185520.

Find LCM of 273,706,306,720 with Prime Factorization

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

2 x 3 x 3 x 91 x 353 x 17 x 40 = 393185520

Therefore, the lowest common multiple of 273,706,306,720 is 393185520.

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.

273 x 706 x 306 x 720 = 42464036160

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

706 : 1, 2, 353, 706

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,706,306,720, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

706:2x 353

306:2x 3x 3x 17

720:2x 2x 2x 2x 3x 3x 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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 42464036160/(1x108)

LCM = 42464036160/108

LCM = 393185520

Thus, we can understand that the LCM of 273,706,306,720 is 393185520.

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

• LCM of 511, 737, 290, 418
• LCM of 776, 641, 189, 434
• LCM of 417, 115, 330, 745
• LCM of 697, 446, 892, 923
• LCM of 144, 469, 748, 464

1. What is the LCM of 273, 706, 306, 720?

Answer: LCM of 273, 706, 306, 720 is 393185520.

2. How to calculate the LCM of 273, 706, 306, 720?

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 273, 706, 306, 720.

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}.