Given numbers are 299,783,418,30

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

The LCM of 299,783,418,30 is 489304530.

Find LCM of 299,783,418,30 with Prime Factorization

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

2 x 3 x 299 x 261 x 209 x 5 = 489304530

Therefore, the lowest common multiple of 299,783,418,30 is 489304530.

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.

299 x 783 x 418 x 30 = 2935827180

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.

299 : 1, 13, 23, 299

783 : 1, 3, 9, 27, 29, 87, 261, 783

418 : 1, 2, 11, 19, 22, 38, 209, 418

30 : 1, 2, 3, 5, 6, 10, 15, 30

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,783,418,30, is 1.

Now, the common factors can be found like this.

299:13x 23

783:3x 3x 3x 29

418:2x 11x 19

30:2x 3x 5

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 = 2935827180/(1x6)

LCM = 2935827180/6

LCM = 489304530

Thus, we can understand that the LCM of 299,783,418,30 is 489304530.

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

• LCM of 652, 703, 363, 31
• LCM of 717, 475, 314, 12
• LCM of 557, 438, 705, 10
• LCM of 965, 373, 304, 40
• LCM of 450, 398, 298, 36

1. What is the LCM of 299, 783, 418, 30?

Answer: LCM of 299, 783, 418, 30 is 489304530.

2. How to calculate the LCM of 299, 783, 418, 30?

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 299, 783, 418, 30.

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}.