Given numbers are 306,369,816,362,539

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

The LCM of 306,369,816,362,539 is 9791801712.

Find LCM of 306,369,816,362,539 with Prime Factorization

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

2 x 3 x 3 x 17 x 1 x 41 x 8 x 181 x 539 = 9791801712

Therefore, the lowest common multiple of 306,369,816,362,539 is 9791801712.

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.

306 x 369 x 816 x 362 x 539 = 17977747943232

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.

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

369 : 1, 3, 9, 41, 123, 369

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

362 : 1, 2, 181, 362

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,369,816,362,539, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

369:3x 3x 41

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

362:2x 181

539:7x 7x 11

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 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 17977747943232/(1x1836)

LCM = 17977747943232/1836

LCM = 9791801712

Thus, we can understand that the LCM of 306,369,816,362,539 is 9791801712.

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

• LCM of 778, 471, 176, 311, 853
• LCM of 268, 511, 286, 340, 918
• LCM of 496, 822, 283, 763, 990
• LCM of 743, 881, 824, 378, 852
• LCM of 177, 821, 654, 851, 316

1. What is the LCM of 306, 369, 816, 362, 539?

Answer: LCM of 306, 369, 816, 362, 539 is 9791801712.

2. How to calculate the LCM of 306, 369, 816, 362, 539?

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 306, 369, 816, 362, 539.

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}.