Given numbers are 205,856,398,225,493

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

The LCM of 205,856,398,225,493 is 774711736200.

Find LCM of 205,856,398,225,493 with Prime Factorization

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

2 x 5 x 41 x 428 x 199 x 45 x 493 = 774711736200

Therefore, the lowest common multiple of 205,856,398,225,493 is 774711736200.

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.

205 x 856 x 398 x 225 x 493 = 7747117362000

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.

205 : 1, 5, 41, 205

856 : 1, 2, 4, 8, 107, 214, 428, 856

398 : 1, 2, 199, 398

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,856,398,225,493, is 1.

Now, the common factors can be found like this.

205:5x 41

856:2x 2x 2x 107

398:2x 199

225:3x 3x 5x 5

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 7747117362000/(1x10)

LCM = 7747117362000/10

LCM = 774711736200

Thus, we can understand that the LCM of 205,856,398,225,493 is 774711736200.

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

• LCM of 443, 489, 829, 716, 423
• LCM of 865, 849, 780, 790, 215
• LCM of 500, 958, 673, 824, 249
• LCM of 464, 211, 848, 351, 266
• LCM of 376, 242, 130, 679, 939

1. What is the LCM of 205, 856, 398, 225, 493?

Answer: LCM of 205, 856, 398, 225, 493 is 774711736200.

2. How to calculate the LCM of 205, 856, 398, 225, 493?

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 205, 856, 398, 225, 493.

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}.