Given numbers are 409,201,936,933

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

The LCM of 409,201,936,933 is 7976903688.

Find LCM of 409,201,936,933 with Prime Factorization

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

3 x 409 x 67 x 312 x 311 = 7976903688

Therefore, the lowest common multiple of 409,201,936,933 is 7976903688.

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.

409 x 201 x 936 x 933 = 71792133192

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.

409 : 1, 409

201 : 1, 3, 67, 201

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,201,936,933, is 1.

Now, the common factors can be found like this.

409:409

201:3x 67

936:2x 2x 2x 3x 3x 13

933:3x 311

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 71792133192/(1x9)

LCM = 71792133192/9

LCM = 7976903688

Thus, we can understand that the LCM of 409,201,936,933 is 7976903688.

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

• LCM of 202, 401, 375, 193
• LCM of 987, 857, 220, 101
• LCM of 742, 360, 659, 761
• LCM of 699, 534, 348, 838
• LCM of 591, 180, 425, 831

1. What is the LCM of 409, 201, 936, 933?

Answer: LCM of 409, 201, 936, 933 is 7976903688.

2. How to calculate the LCM of 409, 201, 936, 933?

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 409, 201, 936, 933.

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}.