Given numbers are 945,326,136,873,406

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

The LCM of 945,326,136,873,406 is 58928861880.

Find LCM of 945,326,136,873,406 with Prime Factorization

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

2 x 3 x 3 x 7 x 15 x 163 x 68 x 97 x 29 = 58928861880

Therefore, the lowest common multiple of 945,326,136,873,406 is 58928861880.

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.

945 x 326 x 136 x 873 x 406 = 14850073193760

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

326 : 1, 2, 163, 326

136 : 1, 2, 4, 8, 17, 34, 68, 136

873 : 1, 3, 9, 97, 291, 873

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,326,136,873,406, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

326:2x 163

136:2x 2x 2x 17

873:3x 3x 97

406:2x 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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 14850073193760/(1x252)

LCM = 14850073193760/252

LCM = 58928861880

Thus, we can understand that the LCM of 945,326,136,873,406 is 58928861880.

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

• LCM of 911, 275, 613, 336, 863
• LCM of 150, 980, 886, 740, 858
• LCM of 510, 457, 970, 154, 887
• LCM of 923, 654, 644, 162, 281
• LCM of 124, 714, 364, 813, 187

1. What is the LCM of 945, 326, 136, 873, 406?

Answer: LCM of 945, 326, 136, 873, 406 is 58928861880.

2. How to calculate the LCM of 945, 326, 136, 873, 406?

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 945, 326, 136, 873, 406.

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}.