Given numbers are 253,135,212,814

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

The LCM of 253,135,212,814 is 267911820.

Find LCM of 253,135,212,814 with Prime Factorization

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

2 x 11 x 23 x 135 x 106 x 37 = 267911820

Therefore, the lowest common multiple of 253,135,212,814 is 267911820.

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.

253 x 135 x 212 x 814 = 5894060040

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.

253 : 1, 11, 23, 253

135 : 1, 3, 5, 9, 15, 27, 45, 135

212 : 1, 2, 4, 53, 106, 212

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 253,135,212,814, is 1.

Now, the common factors can be found like this.

253:11x 23

135:3x 3x 3x 5

212:2x 2x 53

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 11 = 22

Therefore, the value for common factors is 22.

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 = 5894060040/(1x22)

LCM = 5894060040/22

LCM = 267911820

Thus, we can understand that the LCM of 253,135,212,814 is 267911820.

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

• LCM of 756, 315, 574, 173
• LCM of 255, 244, 481, 834
• LCM of 756, 393, 110, 290
• LCM of 976, 516, 852, 483
• LCM of 360, 210, 696, 687

1. What is the LCM of 253, 135, 212, 814?

Answer: LCM of 253, 135, 212, 814 is 267911820.

2. How to calculate the LCM of 253, 135, 212, 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 253, 135, 212, 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}.