Given numbers are 427,321,282,814

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

The LCM of 427,321,282,814 is 5243909286.

Find LCM of 427,321,282,814 with Prime Factorization

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

2 x 3 x 427 x 107 x 47 x 407 = 5243909286

Therefore, the lowest common multiple of 427,321,282,814 is 5243909286.

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.

427 x 321 x 282 x 814 = 31463455716

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.

427 : 1, 7, 61, 427

321 : 1, 3, 107, 321

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,321,282,814, is 1.

Now, the common factors can be found like this.

427:7x 61

321:3x 107

282:2x 3x 47

814:2x 11x 37

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 = 31463455716/(1x6)

LCM = 31463455716/6

LCM = 5243909286

Thus, we can understand that the LCM of 427,321,282,814 is 5243909286.

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

• LCM of 221, 643, 685, 279
• LCM of 334, 780, 231, 693
• LCM of 914, 597, 647, 759
• LCM of 868, 855, 232, 580
• LCM of 554, 492, 934, 432

1. What is the LCM of 427, 321, 282, 814?

Answer: LCM of 427, 321, 282, 814 is 5243909286.

2. How to calculate the LCM of 427, 321, 282, 814?

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 427, 321, 282, 814.

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}.