Given numbers are 537,320,214,194

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

The LCM of 537,320,214,194 is 1783527360.

Find LCM of 537,320,214,194 with Prime Factorization

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

2 x 537 x 160 x 107 x 97 = 1783527360

Therefore, the lowest common multiple of 537,320,214,194 is 1783527360.

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.

537 x 320 x 214 x 194 = 7134109440

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.

537 : 1, 3, 179, 537

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

214 : 1, 2, 107, 214

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,320,214,194, is 1.

Now, the common factors can be found like this.

537:3x 179

320:2x 2x 2x 2x 2x 2x 5

214:2x 107

194:2x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7134109440/(1x4)

LCM = 7134109440/4

LCM = 1783527360

Thus, we can understand that the LCM of 537,320,214,194 is 1783527360.

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

• LCM of 966, 645, 319, 473
• LCM of 641, 527, 350, 454
• LCM of 712, 597, 933, 238
• LCM of 388, 986, 554, 774
• LCM of 196, 727, 296, 526

1. What is the LCM of 537, 320, 214, 194?

Answer: LCM of 537, 320, 214, 194 is 1783527360.

2. How to calculate the LCM of 537, 320, 214, 194?

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 537, 320, 214, 194.

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}.