Given numbers are 720,556,461,311

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

The LCM of 720,556,461,311 is 14348569680.

Find LCM of 720,556,461,311 with Prime Factorization

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

2 x 2 x 180 x 139 x 461 x 311 = 14348569680

Therefore, the lowest common multiple of 720,556,461,311 is 14348569680.

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.

720 x 556 x 461 x 311 = 57394278720

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.

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

556 : 1, 2, 4, 139, 278, 556

461 : 1, 461

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,556,461,311, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

556:2x 2x 139

461:461

311:311

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57394278720/(1x4)

LCM = 57394278720/4

LCM = 14348569680

Thus, we can understand that the LCM of 720,556,461,311 is 14348569680.

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

• LCM of 810, 991, 624, 521
• LCM of 594, 811, 448, 878
• LCM of 104, 230, 866, 773
• LCM of 485, 364, 884, 543
• LCM of 986, 978, 835, 287

1. What is the LCM of 720, 556, 461, 311?

Answer: LCM of 720, 556, 461, 311 is 14348569680.

2. How to calculate the LCM of 720, 556, 461, 311?

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 720, 556, 461, 311.

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}.