Given numbers are 133,306,318,319

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

The LCM of 133,306,318,319 is 688081086.

Find LCM of 133,306,318,319 with Prime Factorization

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

2 x 3 x 133 x 51 x 53 x 319 = 688081086

Therefore, the lowest common multiple of 133,306,318,319 is 688081086.

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.

133 x 306 x 318 x 319 = 4128486516

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.

133 : 1, 7, 19, 133

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

318 : 1, 2, 3, 6, 53, 106, 159, 318

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,306,318,319, is 1.

Now, the common factors can be found like this.

133:7x 19

306:2x 3x 3x 17

318:2x 3x 53

319:11x 29

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 = 4128486516/(1x6)

LCM = 4128486516/6

LCM = 688081086

Thus, we can understand that the LCM of 133,306,318,319 is 688081086.

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

• LCM of 890, 974, 783, 610
• LCM of 575, 926, 190, 232
• LCM of 644, 199, 514, 779
• LCM of 325, 617, 445, 395
• LCM of 362, 154, 229, 344

1. What is the LCM of 133, 306, 318, 319?

Answer: LCM of 133, 306, 318, 319 is 688081086.

2. How to calculate the LCM of 133, 306, 318, 319?

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 133, 306, 318, 319.

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}.