Given numbers are 828,804,941,285,323

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

The LCM of 828,804,941,285,323 is 84307709340.

Find LCM of 828,804,941,285,323 with Prime Factorization

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

2 x 2 x 3 x 19 x 69 x 67 x 941 x 5 x 17 = 84307709340

Therefore, the lowest common multiple of 828,804,941,285,323 is 84307709340.

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 804 x 941 x 285 x 323 = 57666473188560

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

941 : 1, 941

285 : 1, 3, 5, 15, 19, 57, 95, 285

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,804,941,285,323, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

804:2x 2x 3x 67

941:941

285:3x 5x 19

323:17x 19

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 19 = 684

Therefore, the value for common factors is 684.

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 = 57666473188560/(1x684)

LCM = 57666473188560/684

LCM = 84307709340

Thus, we can understand that the LCM of 828,804,941,285,323 is 84307709340.

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

• LCM of 947, 770, 227, 462, 933
• LCM of 173, 731, 435, 214, 773
• LCM of 584, 866, 894, 666, 148
• LCM of 590, 394, 975, 126, 947
• LCM of 230, 933, 128, 431, 368

1. What is the LCM of 828, 804, 941, 285, 323?

Answer: LCM of 828, 804, 941, 285, 323 is 84307709340.

2. How to calculate the LCM of 828, 804, 941, 285, 323?

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, 804, 941, 285, 323.

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}.