Given numbers are 206,822,343,566,672

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

The LCM of 206,822,343,566,672 is 131495103264.

Find LCM of 206,822,343,566,672 with Prime Factorization

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

2 x 3 x 7 x 103 x 137 x 49 x 283 x 16 = 131495103264

Therefore, the lowest common multiple of 206,822,343,566,672 is 131495103264.

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.

206 x 822 x 343 x 566 x 672 = 22091177348352

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.

206 : 1, 2, 103, 206

822 : 1, 2, 3, 6, 137, 274, 411, 822

343 : 1, 7, 49, 343

566 : 1, 2, 283, 566

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,822,343,566,672, is 1.

Now, the common factors can be found like this.

206:2x 103

822:2x 3x 137

343:7x 7x 7

566:2x 283

672:2x 2x 2x 2x 2x 3x 7

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 22091177348352/(1x168)

LCM = 22091177348352/168

LCM = 131495103264

Thus, we can understand that the LCM of 206,822,343,566,672 is 131495103264.

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

• LCM of 873, 477, 548, 910, 521
• LCM of 976, 640, 311, 364, 608
• LCM of 136, 168, 634, 325, 820
• LCM of 252, 630, 630, 818, 703
• LCM of 207, 574, 721, 689, 709

1. What is the LCM of 206, 822, 343, 566, 672?

Answer: LCM of 206, 822, 343, 566, 672 is 131495103264.

2. How to calculate the LCM of 206, 822, 343, 566, 672?

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 206, 822, 343, 566, 672.

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}.