Given numbers are 816,283,635,820,170

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

The LCM of 816,283,635,820,170 is 6012210480.

Find LCM of 816,283,635,820,170 with Prime Factorization

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

2 x 2 x 5 x 17 x 12 x 283 x 127 x 41 x 1 = 6012210480

Therefore, the lowest common multiple of 816,283,635,820,170 is 6012210480.

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.

816 x 283 x 635 x 820 x 170 = 20441515632000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

283 : 1, 283

635 : 1, 5, 127, 635

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,283,635,820,170, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

283:283

635:5x 127

820:2x 2x 5x 41

170:2x 5x 17

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 5x 5x 17 = 3400

Therefore, the value for common factors is 3400.

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 = 20441515632000/(1x3400)

LCM = 20441515632000/3400

LCM = 6012210480

Thus, we can understand that the LCM of 816,283,635,820,170 is 6012210480.

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

• LCM of 462, 551, 359, 301, 297
• LCM of 998, 942, 817, 988, 641
• LCM of 241, 951, 946, 660, 650
• LCM of 638, 179, 394, 701, 430
• LCM of 575, 840, 999, 493, 148

1. What is the LCM of 816, 283, 635, 820, 170?

Answer: LCM of 816, 283, 635, 820, 170 is 6012210480.

2. How to calculate the LCM of 816, 283, 635, 820, 170?

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 816, 283, 635, 820, 170.

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}.