Given numbers are 823,828,153,696,420

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

The LCM of 823,828,153,696,420 is 23516632440.

Find LCM of 823,828,153,696,420 with Prime Factorization

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

2 x 2 x 3 x 3 x 823 x 23 x 17 x 58 x 35 = 23516632440

Therefore, the lowest common multiple of 823,828,153,696,420 is 23516632440.

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.

823 x 828 x 153 x 696 x 420 = 30477555642240

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.

823 : 1, 823

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

153 : 1, 3, 9, 17, 51, 153

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,828,153,696,420, is 1.

Now, the common factors can be found like this.

823:823

828:2x 2x 3x 3x 23

153:3x 3x 17

696:2x 2x 2x 3x 29

420:2x 2x 3x 5x 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 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 30477555642240/(1x1296)

LCM = 30477555642240/1296

LCM = 23516632440

Thus, we can understand that the LCM of 823,828,153,696,420 is 23516632440.

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

• LCM of 300, 337, 381, 819, 745
• LCM of 602, 818, 433, 741, 950
• LCM of 850, 196, 454, 444, 922
• LCM of 573, 880, 978, 292, 346
• LCM of 622, 768, 920, 934, 766

1. What is the LCM of 823, 828, 153, 696, 420?

Answer: LCM of 823, 828, 153, 696, 420 is 23516632440.

2. How to calculate the LCM of 823, 828, 153, 696, 420?

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 823, 828, 153, 696, 420.

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}.