Given numbers are 427,412,114,321

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

The LCM of 427,412,114,321 is 1072960476.

Find LCM of 427,412,114,321 with Prime Factorization

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

2 x 3 x 427 x 206 x 19 x 107 = 1072960476

Therefore, the lowest common multiple of 427,412,114,321 is 1072960476.

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 412 x 114 x 321 = 6437762856

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

412 : 1, 2, 4, 103, 206, 412

114 : 1, 2, 3, 6, 19, 38, 57, 114

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,412,114,321, is 1.

Now, the common factors can be found like this.

427:7x 61

412:2x 2x 103

114:2x 3x 19

321:3x 107

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 = 6437762856/(1x6)

LCM = 6437762856/6

LCM = 1072960476

Thus, we can understand that the LCM of 427,412,114,321 is 1072960476.

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

• LCM of 141, 375, 159, 137
• LCM of 144, 704, 680, 795
• LCM of 179, 521, 254, 949
• LCM of 854, 875, 664, 600
• LCM of 420, 793, 748, 155

1. What is the LCM of 427, 412, 114, 321?

Answer: LCM of 427, 412, 114, 321 is 1072960476.

2. How to calculate the LCM of 427, 412, 114, 321?

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, 412, 114, 321.

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}.