Given numbers are 106,946,396,814,203

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

The LCM of 106,946,396,814,203 is 6778557324.

Find LCM of 106,946,396,814,203 with Prime Factorization

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

2 x 11 x 53 x 43 x 18 x 37 x 203 = 6778557324

Therefore, the lowest common multiple of 106,946,396,814,203 is 6778557324.

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.

106 x 946 x 396 x 814 x 203 = 6561643489632

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.

106 : 1, 2, 53, 106

946 : 1, 2, 11, 22, 43, 86, 473, 946

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,946,396,814,203, is 1.

Now, the common factors can be found like this.

106:2x 53

946:2x 11x 43

396:2x 2x 3x 3x 11

814:2x 11x 37

203:7x 29

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 2x 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 6561643489632/(1x968)

LCM = 6561643489632/968

LCM = 6778557324

Thus, we can understand that the LCM of 106,946,396,814,203 is 6778557324.

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

• LCM of 671, 778, 664, 148, 450
• LCM of 211, 301, 286, 936, 139
• LCM of 993, 585, 495, 371, 397
• LCM of 880, 273, 891, 531, 672
• LCM of 511, 247, 305, 180, 645

1. What is the LCM of 106, 946, 396, 814, 203?

Answer: LCM of 106, 946, 396, 814, 203 is 6778557324.

2. How to calculate the LCM of 106, 946, 396, 814, 203?

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 106, 946, 396, 814, 203.

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}.