Given numbers are 454,284,167,117,984

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

The LCM of 454,284,167,117,984 is 103290500664.

Find LCM of 454,284,167,117,984 with Prime Factorization

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

2 x 2 x 3 x 227 x 71 x 167 x 39 x 82 = 103290500664

Therefore, the lowest common multiple of 454,284,167,117,984 is 103290500664.

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.

454 x 284 x 167 x 117 x 984 = 2478972015936

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.

454 : 1, 2, 227, 454

284 : 1, 2, 4, 71, 142, 284

167 : 1, 167

117 : 1, 3, 9, 13, 39, 117

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,284,167,117,984, is 1.

Now, the common factors can be found like this.

454:2x 227

284:2x 2x 71

167:167

117:3x 3x 13

984:2x 2x 2x 3x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 2478972015936/(1x24)

LCM = 2478972015936/24

LCM = 103290500664

Thus, we can understand that the LCM of 454,284,167,117,984 is 103290500664.

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

• LCM of 575, 577, 920, 920, 590
• LCM of 632, 833, 805, 378, 144
• LCM of 674, 589, 226, 760, 761
• LCM of 406, 617, 742, 400, 494
• LCM of 554, 433, 702, 506, 181

1. What is the LCM of 454, 284, 167, 117, 984?

Answer: LCM of 454, 284, 167, 117, 984 is 103290500664.

2. How to calculate the LCM of 454, 284, 167, 117, 984?

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 454, 284, 167, 117, 984.

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}.