Given numbers are 395,158,409,580,920

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

The LCM of 395,158,409,580,920 is 862057480.

Find LCM of 395,158,409,580,920 with Prime Factorization

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

2 x 2 x 5 x 79 x 1 x 1 x 409 x 29 x 46 = 862057480

Therefore, the lowest common multiple of 395,158,409,580,920 is 862057480.

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.

395 x 158 x 409 x 580 x 920 = 13620508184000

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.

395 : 1, 5, 79, 395

158 : 1, 2, 79, 158

409 : 1, 409

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,158,409,580,920, is 1.

Now, the common factors can be found like this.

395:5x 79

158:2x 79

409:409

580:2x 2x 5x 29

920:2x 2x 2x 5x 23

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 79 = 15800

Therefore, the value for common factors is 15800.

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 = 13620508184000/(1x15800)

LCM = 13620508184000/15800

LCM = 862057480

Thus, we can understand that the LCM of 395,158,409,580,920 is 862057480.

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

• LCM of 871, 624, 806, 965, 996
• LCM of 713, 509, 410, 925, 384
• LCM of 995, 716, 416, 173, 246
• LCM of 374, 583, 505, 721, 393
• LCM of 714, 980, 576, 103, 325

1. What is the LCM of 395, 158, 409, 580, 920?

Answer: LCM of 395, 158, 409, 580, 920 is 862057480.

2. How to calculate the LCM of 395, 158, 409, 580, 920?

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 395, 158, 409, 580, 920.

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}.