Given numbers are 914,244,814,760

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

The LCM of 914,244,814,760 is 8622913640.

Find LCM of 914,244,814,760 with Prime Factorization

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

2 x 2 x 457 x 61 x 407 x 190 = 8622913640

Therefore, the lowest common multiple of 914,244,814,760 is 8622913640.

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.

914 x 244 x 814 x 760 = 137966618240

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.

914 : 1, 2, 457, 914

244 : 1, 2, 4, 61, 122, 244

814 : 1, 2, 11, 22, 37, 74, 407, 814

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,244,814,760, is 2.

Now, the common factors can be found like this.

914:2x 457

244:2x 2x 61

814:2x 11x 37

760:2x 2x 2x 5x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 137966618240/(2x8)

LCM = 137966618240/16

LCM = 8622913640

Thus, we can understand that the LCM of 914,244,814,760 is 8622913640.

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

• LCM of 777, 549, 718, 280
• LCM of 474, 693, 641, 151
• LCM of 403, 695, 205, 419
• LCM of 904, 514, 380, 552
• LCM of 272, 192, 346, 341

1. What is the LCM of 914, 244, 814, 760?

Answer: LCM of 914, 244, 814, 760 is 8622913640.

2. How to calculate the LCM of 914, 244, 814, 760?

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 914, 244, 814, 760.

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}.