Given numbers are 894,195,924,321,941

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

The LCM of 894,195,924,321,941 is 901041921780.

Find LCM of 894,195,924,321,941 with Prime Factorization

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

2 x 3 x 149 x 65 x 154 x 107 x 941 = 901041921780

Therefore, the lowest common multiple of 894,195,924,321,941 is 901041921780.

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.

894 x 195 x 924 x 321 x 941 = 48656263776120

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

195 : 1, 3, 5, 13, 15, 39, 65, 195

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

321 : 1, 3, 107, 321

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,195,924,321,941, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

195:3x 5x 13

924:2x 2x 3x 7x 11

321:3x 107

941:941

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 48656263776120/(1x54)

LCM = 48656263776120/54

LCM = 901041921780

Thus, we can understand that the LCM of 894,195,924,321,941 is 901041921780.

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

• LCM of 932, 349, 731, 809, 723
• LCM of 528, 301, 609, 791, 186
• LCM of 507, 449, 247, 719, 455
• LCM of 699, 434, 287, 367, 271
• LCM of 519, 948, 254, 692, 337

1. What is the LCM of 894, 195, 924, 321, 941?

Answer: LCM of 894, 195, 924, 321, 941 is 901041921780.

2. How to calculate the LCM of 894, 195, 924, 321, 941?

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 894, 195, 924, 321, 941.

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}.