Given numbers are 234,416,504,208,163

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

The LCM of 234,416,504,208,163 is 4271904.

Find LCM of 234,416,504,208,163 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 13 x 1 x 1 x 7 x 2 x 163 = 4271904

Therefore, the lowest common multiple of 234,416,504,208,163 is 4271904.

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.

234 x 416 x 504 x 208 x 163 = 1663376891904

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,416,504,208,163, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

416:2x 2x 2x 2x 2x 13

504:2x 2x 2x 3x 3x 7

208:2x 2x 2x 2x 13

163:163

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 2x 2x 2x 2x 2x 3x 3x 13x 13 = 389376

Therefore, the value for common factors is 389376.

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 = 1663376891904/(1x389376)

LCM = 1663376891904/389376

LCM = 4271904

Thus, we can understand that the LCM of 234,416,504,208,163 is 4271904.

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

• LCM of 799, 453, 110, 820, 537
• LCM of 457, 835, 400, 186, 403
• LCM of 878, 598, 285, 492, 151
• LCM of 329, 443, 419, 218, 949
• LCM of 722, 423, 976, 434, 935

1. What is the LCM of 234, 416, 504, 208, 163?

Answer: LCM of 234, 416, 504, 208, 163 is 4271904.

2. How to calculate the LCM of 234, 416, 504, 208, 163?

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 234, 416, 504, 208, 163.

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}.