Given numbers are 314,133,522,278

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

The LCM of 314,133,522,278 is 1515083598.

Find LCM of 314,133,522,278 with Prime Factorization

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

2 x 157 x 133 x 261 x 139 = 1515083598

Therefore, the lowest common multiple of 314,133,522,278 is 1515083598.

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.

314 x 133 x 522 x 278 = 6060334392

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.

314 : 1, 2, 157, 314

133 : 1, 7, 19, 133

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,133,522,278, is 1.

Now, the common factors can be found like this.

314:2x 157

133:7x 19

522:2x 3x 3x 29

278:2x 139

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 = 6060334392/(1x4)

LCM = 6060334392/4

LCM = 1515083598

Thus, we can understand that the LCM of 314,133,522,278 is 1515083598.

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

• LCM of 181, 447, 115, 122
• LCM of 919, 926, 895, 462
• LCM of 790, 818, 248, 229
• LCM of 102, 283, 176, 965
• LCM of 489, 580, 706, 608

1. What is the LCM of 314, 133, 522, 278?

Answer: LCM of 314, 133, 522, 278 is 1515083598.

2. How to calculate the LCM of 314, 133, 522, 278?

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 314, 133, 522, 278.

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}.