Given numbers are 305,728,306,544

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

The LCM of 305,728,306,544 is 135888480.

Find LCM of 305,728,306,544 with Prime Factorization

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

2 x 2 x 2 x 17 x 305 x 91 x 9 x 4 = 135888480

Therefore, the lowest common multiple of 305,728,306,544 is 135888480.

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.

305 x 728 x 306 x 544 = 36961666560

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.

305 : 1, 5, 61, 305

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,728,306,544, is 1.

Now, the common factors can be found like this.

305:5x 61

728:2x 2x 2x 7x 13

306:2x 3x 3x 17

544:2x 2x 2x 2x 2x 17

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 17 = 272

Therefore, the value for common factors is 272.

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 = 36961666560/(1x272)

LCM = 36961666560/272

LCM = 135888480

Thus, we can understand that the LCM of 305,728,306,544 is 135888480.

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

• LCM of 329, 841, 409, 472
• LCM of 808, 917, 231, 334
• LCM of 917, 271, 847, 366
• LCM of 225, 765, 371, 760
• LCM of 663, 351, 591, 109

1. What is the LCM of 305, 728, 306, 544?

Answer: LCM of 305, 728, 306, 544 is 135888480.

2. How to calculate the LCM of 305, 728, 306, 544?

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 305, 728, 306, 544.

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}.