Given numbers are 563,497,536,876,828

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

The LCM of 563,497,536,876,828 is 2266328075256.

Find LCM of 563,497,536,876,828 with Prime Factorization

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

2 x 2 x 3 x 563 x 497 x 134 x 73 x 69 = 2266328075256

Therefore, the lowest common multiple of 563,497,536,876,828 is 2266328075256.

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 497 x 536 x 876 x 828 = 108783747612288

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

497 : 1, 7, 71, 497

536 : 1, 2, 4, 8, 67, 134, 268, 536

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,497,536,876,828, is 1.

Now, the common factors can be found like this.

563:563

497:7x 71

536:2x 2x 2x 67

876:2x 2x 3x 73

828:2x 2x 3x 3x 23

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 108783747612288/(1x48)

LCM = 108783747612288/48

LCM = 2266328075256

Thus, we can understand that the LCM of 563,497,536,876,828 is 2266328075256.

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

• LCM of 768, 529, 746, 180, 740
• LCM of 133, 601, 109, 436, 647
• LCM of 483, 710, 692, 124, 772
• LCM of 461, 648, 380, 561, 225
• LCM of 341, 926, 590, 665, 106

1. What is the LCM of 563, 497, 536, 876, 828?

Answer: LCM of 563, 497, 536, 876, 828 is 2266328075256.

2. How to calculate the LCM of 563, 497, 536, 876, 828?

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, 497, 536, 876, 828.

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}.