Given numbers are 806,488,942,814

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

The LCM of 806,488,942,814 is 37699898808.

Find LCM of 806,488,942,814 with Prime Factorization

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

2 x 403 x 244 x 471 x 407 = 37699898808

Therefore, the lowest common multiple of 806,488,942,814 is 37699898808.

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.

806 x 488 x 942 x 814 = 301599190464

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

488 : 1, 2, 4, 8, 61, 122, 244, 488

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,488,942,814, is 2.

Now, the common factors can be found like this.

806:2x 13x 31

488:2x 2x 2x 61

942:2x 3x 157

814:2x 11x 37

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 = 301599190464/(2x4)

LCM = 301599190464/8

LCM = 37699898808

Thus, we can understand that the LCM of 806,488,942,814 is 37699898808.

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

• LCM of 926, 303, 547, 973
• LCM of 636, 349, 505, 772
• LCM of 953, 339, 563, 141
• LCM of 241, 770, 713, 627
• LCM of 339, 858, 451, 318

1. What is the LCM of 806, 488, 942, 814?

Answer: LCM of 806, 488, 942, 814 is 37699898808.

2. How to calculate the LCM of 806, 488, 942, 814?

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 806, 488, 942, 814.

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}.