Given numbers are 212,128,279,192

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

The LCM of 212,128,279,192 is 1892736.

Find LCM of 212,128,279,192 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 53 x 2 x 93 x 1 = 1892736

Therefore, the lowest common multiple of 212,128,279,192 is 1892736.

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.

212 x 128 x 279 x 192 = 1453621248

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

279 : 1, 3, 9, 31, 93, 279

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,128,279,192, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

128:2x 2x 2x 2x 2x 2x 2

279:3x 3x 31

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 1453621248/(1x768)

LCM = 1453621248/768

LCM = 1892736

Thus, we can understand that the LCM of 212,128,279,192 is 1892736.

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

• LCM of 765, 164, 905, 966
• LCM of 139, 355, 531, 245
• LCM of 676, 517, 775, 506
• LCM of 187, 523, 216, 921
• LCM of 238, 737, 805, 990

1. What is the LCM of 212, 128, 279, 192?

Answer: LCM of 212, 128, 279, 192 is 1892736.

2. How to calculate the LCM of 212, 128, 279, 192?

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 212, 128, 279, 192.

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}.