Given numbers are 563,381,348,363,921

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

The LCM of 563,381,348,363,921 is 924304581156.

Find LCM of 563,381,348,363,921 with Prime Factorization

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

3 x 563 x 127 x 116 x 121 x 307 = 924304581156

Therefore, the lowest common multiple of 563,381,348,363,921 is 924304581156.

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.

563 x 381 x 348 x 363 x 921 = 24956223691212

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.

563 : 1, 563

381 : 1, 3, 127, 381

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

363 : 1, 3, 11, 33, 121, 363

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,381,348,363,921, is 1.

Now, the common factors can be found like this.

563:563

381:3x 127

348:2x 2x 3x 29

363:3x 11x 11

921:3x 307

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 24956223691212/(1x27)

LCM = 24956223691212/27

LCM = 924304581156

Thus, we can understand that the LCM of 563,381,348,363,921 is 924304581156.

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

• LCM of 171, 166, 916, 692, 820
• LCM of 842, 393, 116, 808, 667
• LCM of 373, 335, 897, 212, 796
• LCM of 148, 120, 673, 201, 122
• LCM of 946, 923, 193, 869, 643

1. What is the LCM of 563, 381, 348, 363, 921?

Answer: LCM of 563, 381, 348, 363, 921 is 924304581156.

2. How to calculate the LCM of 563, 381, 348, 363, 921?

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 563, 381, 348, 363, 921.

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}.