Given numbers are 825,409,131,395,680

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

The LCM of 825,409,131,395,680 is 474913540200.

Find LCM of 825,409,131,395,680 with Prime Factorization

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

5 x 165 x 409 x 131 x 79 x 136 = 474913540200

Therefore, the lowest common multiple of 825,409,131,395,680 is 474913540200.

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.

825 x 409 x 131 x 395 x 680 = 11872838505000

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

409 : 1, 409

131 : 1, 131

395 : 1, 5, 79, 395

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,409,131,395,680, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

409:409

131:131

395:5x 79

680:2x 2x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 11872838505000/(1x25)

LCM = 11872838505000/25

LCM = 474913540200

Thus, we can understand that the LCM of 825,409,131,395,680 is 474913540200.

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

• LCM of 632, 831, 706, 593, 808
• LCM of 195, 307, 266, 116, 336
• LCM of 698, 862, 146, 282, 564
• LCM of 830, 791, 542, 459, 319
• LCM of 550, 434, 503, 558, 262

1. What is the LCM of 825, 409, 131, 395, 680?

Answer: LCM of 825, 409, 131, 395, 680 is 474913540200.

2. How to calculate the LCM of 825, 409, 131, 395, 680?

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 825, 409, 131, 395, 680.

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}.