Given numbers are 563,412,217,108

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

The LCM of 563,412,217,108 is 1359030204.

Find LCM of 563,412,217,108 with Prime Factorization

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

2 x 2 x 563 x 103 x 217 x 27 = 1359030204

Therefore, the lowest common multiple of 563,412,217,108 is 1359030204.

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 412 x 217 x 108 = 5436120816

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

412 : 1, 2, 4, 103, 206, 412

217 : 1, 7, 31, 217

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,412,217,108, is 1.

Now, the common factors can be found like this.

563:563

412:2x 2x 103

217:7x 31

108:2x 2x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5436120816/(1x4)

LCM = 5436120816/4

LCM = 1359030204

Thus, we can understand that the LCM of 563,412,217,108 is 1359030204.

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

• LCM of 277, 976, 350, 384
• LCM of 682, 691, 825, 238
• LCM of 194, 681, 750, 307
• LCM of 851, 343, 988, 517
• LCM of 425, 217, 930, 744

1. What is the LCM of 563, 412, 217, 108?

Answer: LCM of 563, 412, 217, 108 is 1359030204.

2. How to calculate the LCM of 563, 412, 217, 108?

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, 412, 217, 108.

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}.