Given numbers are 306,104,108,546,514

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

The LCM of 306,104,108,546,514 is 85877064.

Find LCM of 306,104,108,546,514 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 17 x 2 x 3 x 7 x 257 = 85877064

Therefore, the lowest common multiple of 306,104,108,546,514 is 85877064.

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 104 x 108 x 546 x 514 = 964571182848

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,104,108,546,514, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

104:2x 2x 2x 13

108:2x 2x 3x 3x 3

546:2x 3x 7x 13

514:2x 257

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 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 964571182848/(2x5616)

LCM = 964571182848/11232

LCM = 85877064

Thus, we can understand that the LCM of 306,104,108,546,514 is 85877064.

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

• LCM of 114, 882, 720, 773, 787
• LCM of 629, 346, 824, 566, 716
• LCM of 572, 929, 588, 621, 496
• LCM of 917, 293, 596, 452, 891
• LCM of 102, 345, 594, 192, 436

1. What is the LCM of 306, 104, 108, 546, 514?

Answer: LCM of 306, 104, 108, 546, 514 is 85877064.

2. How to calculate the LCM of 306, 104, 108, 546, 514?

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, 104, 108, 546, 514.

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}.