Given numbers are 306,683,296,728

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

The LCM of 306,683,296,728 is 2814785064.

Find LCM of 306,683,296,728 with Prime Factorization

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

2 x 2 x 2 x 153 x 683 x 37 x 91 = 2814785064

Therefore, the lowest common multiple of 306,683,296,728 is 2814785064.

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 683 x 296 x 728 = 45036561024

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

683 : 1, 683

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,683,296,728, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

683:683

296:2x 2x 2x 37

728:2x 2x 2x 7x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 45036561024/(1x16)

LCM = 45036561024/16

LCM = 2814785064

Thus, we can understand that the LCM of 306,683,296,728 is 2814785064.

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

• LCM of 429, 442, 722, 736
• LCM of 290, 661, 426, 942
• LCM of 465, 145, 812, 519
• LCM of 432, 382, 640, 753
• LCM of 848, 968, 884, 755

1. What is the LCM of 306, 683, 296, 728?

Answer: LCM of 306, 683, 296, 728 is 2814785064.

2. How to calculate the LCM of 306, 683, 296, 728?

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, 683, 296, 728.

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}.