Given numbers are 827,810,842,533,343

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

The LCM of 827,810,842,533,343 is 51557749646130.

Find LCM of 827,810,842,533,343 with Prime Factorization

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

2 x 827 x 405 x 421 x 533 x 343 = 51557749646130

Therefore, the lowest common multiple of 827,810,842,533,343 is 51557749646130.

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.

827 x 810 x 842 x 533 x 343 = 103115499292260

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.

827 : 1, 827

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

842 : 1, 2, 421, 842

533 : 1, 13, 41, 533

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,810,842,533,343, is 1.

Now, the common factors can be found like this.

827:827

810:2x 3x 3x 3x 3x 5

842:2x 421

533:13x 41

343:7x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 103115499292260/(1x2)

LCM = 103115499292260/2

LCM = 51557749646130

Thus, we can understand that the LCM of 827,810,842,533,343 is 51557749646130.

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

• LCM of 728, 443, 263, 216, 603
• LCM of 602, 231, 346, 725, 341
• LCM of 457, 143, 289, 896, 966
• LCM of 385, 644, 470, 757, 860
• LCM of 598, 119, 341, 136, 146

1. What is the LCM of 827, 810, 842, 533, 343?

Answer: LCM of 827, 810, 842, 533, 343 is 51557749646130.

2. How to calculate the LCM of 827, 810, 842, 533, 343?

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 827, 810, 842, 533, 343.

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}.