Given numbers are 820,383,161,214,642

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

The LCM of 820,383,161,214,642 is 16230934860.

Find LCM of 820,383,161,214,642 with Prime Factorization

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

2 x 107 x 410 x 383 x 161 x 1 x 3 = 16230934860

Therefore, the lowest common multiple of 820,383,161,214,642 is 16230934860.

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.

820 x 383 x 161 x 214 x 642 = 6946840120080

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.

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

383 : 1, 383

161 : 1, 7, 23, 161

214 : 1, 2, 107, 214

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,383,161,214,642, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

383:383

161:7x 23

214:2x 107

642:2x 3x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 6946840120080/(1x428)

LCM = 6946840120080/428

LCM = 16230934860

Thus, we can understand that the LCM of 820,383,161,214,642 is 16230934860.

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

• LCM of 188, 224, 781, 974, 606
• LCM of 985, 429, 489, 257, 762
• LCM of 295, 190, 323, 489, 192
• LCM of 740, 928, 590, 278, 662
• LCM of 446, 667, 131, 432, 471

1. What is the LCM of 820, 383, 161, 214, 642?

Answer: LCM of 820, 383, 161, 214, 642 is 16230934860.

2. How to calculate the LCM of 820, 383, 161, 214, 642?

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 820, 383, 161, 214, 642.

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}.