Given numbers are 454,278,214,223,227

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

The LCM of 454,278,214,223,227 is 1505772266.

Find LCM of 454,278,214,223,227 with Prime Factorization

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

2 x 227 x 1 x 139 x 107 x 223 x 1 = 1505772266

Therefore, the lowest common multiple of 454,278,214,223,227 is 1505772266.

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 278 x 214 x 223 x 227 = 1367241217528

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

278 : 1, 2, 139, 278

214 : 1, 2, 107, 214

223 : 1, 223

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,278,214,223,227, is 1.

Now, the common factors can be found like this.

454:2x 227

278:2x 139

214:2x 107

223:223

227:227

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 227 = 908

Therefore, the value for common factors is 908.

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 = 1367241217528/(1x908)

LCM = 1367241217528/908

LCM = 1505772266

Thus, we can understand that the LCM of 454,278,214,223,227 is 1505772266.

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

• LCM of 336, 976, 377, 356, 466
• LCM of 200, 322, 892, 506, 484
• LCM of 504, 131, 896, 147, 292
• LCM of 625, 995, 615, 836, 895
• LCM of 162, 996, 770, 515, 503

1. What is the LCM of 454, 278, 214, 223, 227?

Answer: LCM of 454, 278, 214, 223, 227 is 1505772266.

2. How to calculate the LCM of 454, 278, 214, 223, 227?

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, 278, 214, 223, 227.

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}.