Given numbers are 321,688,478,177

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

The LCM of 321,688,478,177 is 3114177648.

Find LCM of 321,688,478,177 with Prime Factorization

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

2 x 3 x 107 x 344 x 239 x 59 = 3114177648

Therefore, the lowest common multiple of 321,688,478,177 is 3114177648.

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.

321 x 688 x 478 x 177 = 18685065888

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.

321 : 1, 3, 107, 321

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

478 : 1, 2, 239, 478

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,688,478,177, is 1.

Now, the common factors can be found like this.

321:3x 107

688:2x 2x 2x 2x 43

478:2x 239

177:3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 18685065888/(1x6)

LCM = 18685065888/6

LCM = 3114177648

Thus, we can understand that the LCM of 321,688,478,177 is 3114177648.

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

• LCM of 582, 597, 131, 622
• LCM of 627, 641, 725, 235
• LCM of 167, 919, 760, 502
• LCM of 566, 298, 437, 709
• LCM of 306, 445, 544, 584

1. What is the LCM of 321, 688, 478, 177?

Answer: LCM of 321, 688, 478, 177 is 3114177648.

2. How to calculate the LCM of 321, 688, 478, 177?

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 321, 688, 478, 177.

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}.