Given numbers are 408,163,282,205

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

The LCM of 408,163,282,205 is 640766040.

Find LCM of 408,163,282,205 with Prime Factorization

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

2 x 3 x 68 x 163 x 47 x 205 = 640766040

Therefore, the lowest common multiple of 408,163,282,205 is 640766040.

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.

408 x 163 x 282 x 205 = 3844596240

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

163 : 1, 163

282 : 1, 2, 3, 6, 47, 94, 141, 282

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,163,282,205, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

163:163

282:2x 3x 47

205:5x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3844596240/(1x6)

LCM = 3844596240/6

LCM = 640766040

Thus, we can understand that the LCM of 408,163,282,205 is 640766040.

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

• LCM of 962, 401, 109, 124
• LCM of 500, 736, 804, 787
• LCM of 852, 579, 577, 376
• LCM of 974, 401, 267, 115
• LCM of 435, 415, 965, 783

1. What is the LCM of 408, 163, 282, 205?

Answer: LCM of 408, 163, 282, 205 is 640766040.

2. How to calculate the LCM of 408, 163, 282, 205?

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 408, 163, 282, 205.

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}.