Given numbers are 368,214,194,688

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

The LCM of 368,214,194,688 is 164237296.

Find LCM of 368,214,194,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 107 x 97 x 43 = 164237296

Therefore, the lowest common multiple of 368,214,194,688 is 164237296.

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.

368 x 214 x 194 x 688 = 10511186944

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

214 : 1, 2, 107, 214

194 : 1, 2, 97, 194

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,214,194,688, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

214:2x 107

194:2x 97

688:2x 2x 2x 2x 43

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 2 = 32

Therefore, the value for common factors is 32.

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 = 10511186944/(2x32)

LCM = 10511186944/64

LCM = 164237296

Thus, we can understand that the LCM of 368,214,194,688 is 164237296.

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

• LCM of 777, 424, 739, 176
• LCM of 858, 991, 974, 665
• LCM of 963, 494, 960, 258
• LCM of 801, 823, 596, 311
• LCM of 195, 813, 111, 142

1. What is the LCM of 368, 214, 194, 688?

Answer: LCM of 368, 214, 194, 688 is 164237296.

2. How to calculate the LCM of 368, 214, 194, 688?

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 368, 214, 194, 688.

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}.