Given numbers are 304,540,242,816,639

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

The LCM of 304,540,242,816,639 is 5993768880.

Find LCM of 304,540,242,816,639 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 19 x 15 x 121 x 17 x 71 = 5993768880

Therefore, the lowest common multiple of 304,540,242,816,639 is 5993768880.

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.

304 x 540 x 242 x 816 x 639 = 20714465249280

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

242 : 1, 2, 11, 22, 121, 242

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,540,242,816,639, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

540:2x 2x 3x 3x 3x 5

242:2x 11x 11

816:2x 2x 2x 2x 3x 17

639:3x 3x 71

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 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 20714465249280/(1x3456)

LCM = 20714465249280/3456

LCM = 5993768880

Thus, we can understand that the LCM of 304,540,242,816,639 is 5993768880.

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

• LCM of 758, 656, 614, 561, 444
• LCM of 241, 143, 168, 809, 903
• LCM of 368, 603, 697, 343, 408
• LCM of 495, 931, 678, 436, 387
• LCM of 443, 993, 531, 212, 931

1. What is the LCM of 304, 540, 242, 816, 639?

Answer: LCM of 304, 540, 242, 816, 639 is 5993768880.

2. How to calculate the LCM of 304, 540, 242, 816, 639?

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 304, 540, 242, 816, 639.

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}.