Given numbers are 306,788,412

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

The LCM of 306,788,412 is 12418092.

Find LCM of 306,788,412 with Prime Factorization

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

2 x 2 x 153 x 197 x 103 = 12418092

Therefore, the lowest common multiple of 306,788,412 is 12418092.

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 788 x 412 = 99344736

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

788 : 1, 2, 4, 197, 394, 788

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,788,412, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

788:2x 2x 197

412:2x 2x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 99344736/(2x4)

LCM = 99344736/8

LCM = 12418092

Thus, we can understand that the LCM of 306,788,412 is 12418092.

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

• LCM of 196, 594, 242
• LCM of 192, 303, 108
• LCM of 570, 619, 897
• LCM of 439, 664, 316
• LCM of 606, 438, 602

1. What is the LCM of 306, 788, 412?

Answer: LCM of 306, 788, 412 is 12418092.

2. How to calculate the LCM of 306, 788, 412?

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, 788, 412.

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}.