Given numbers are 252,535,214,412

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

The LCM of 252,535,214,412 is 13886460.

Find LCM of 252,535,214,412 with Prime Factorization

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

2 x 2 x 107 x 63 x 5 x 1 x 103 = 13886460

Therefore, the lowest common multiple of 252,535,214,412 is 13886460.

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.

252 x 535 x 214 x 412 = 11886809760

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

535 : 1, 5, 107, 535

214 : 1, 2, 107, 214

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,535,214,412, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

535:5x 107

214:2x 107

412:2x 2x 103

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 107 = 856

Therefore, the value for common factors is 856.

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 = 11886809760/(1x856)

LCM = 11886809760/856

LCM = 13886460

Thus, we can understand that the LCM of 252,535,214,412 is 13886460.

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

• LCM of 588, 633, 443, 786
• LCM of 758, 666, 516, 940
• LCM of 101, 140, 961, 544
• LCM of 168, 883, 993, 239
• LCM of 360, 563, 145, 183

1. What is the LCM of 252, 535, 214, 412?

Answer: LCM of 252, 535, 214, 412 is 13886460.

2. How to calculate the LCM of 252, 535, 214, 412?

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 252, 535, 214, 412.

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}.