Given numbers are 828,345,418,327,830

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

The LCM of 828,345,418,327,830 is 7828007220.

Find LCM of 828,345,418,327,830 with Prime Factorization

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

2 x 3 x 5 x 23 x 6 x 1 x 209 x 109 x 83 = 7828007220

Therefore, the lowest common multiple of 828,345,418,327,830 is 7828007220.

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.

828 x 345 x 418 x 327 x 830 = 32407949890800

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.

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

418 : 1, 2, 11, 19, 22, 38, 209, 418

327 : 1, 3, 109, 327

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,345,418,327,830, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

345:3x 5x 23

418:2x 11x 19

327:3x 109

830:2x 5x 83

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 3x 3x 5x 23 = 4140

Therefore, the value for common factors is 4140.

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 = 32407949890800/(1x4140)

LCM = 32407949890800/4140

LCM = 7828007220

Thus, we can understand that the LCM of 828,345,418,327,830 is 7828007220.

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

• LCM of 288, 162, 427, 698, 875
• LCM of 448, 978, 255, 872, 510
• LCM of 740, 917, 491, 648, 995
• LCM of 644, 853, 319, 985, 769
• LCM of 645, 240, 871, 504, 606

1. What is the LCM of 828, 345, 418, 327, 830?

Answer: LCM of 828, 345, 418, 327, 830 is 7828007220.

2. How to calculate the LCM of 828, 345, 418, 327, 830?

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 828, 345, 418, 327, 830.

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}.