Given numbers are 306,313,352,648,945

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

The LCM of 306,313,352,648,945 is 5309932320.

Find LCM of 306,313,352,648,945 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 17 x 313 x 44 x 3 x 35 = 5309932320

Therefore, the lowest common multiple of 306,313,352,648,945 is 5309932320.

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 313 x 352 x 648 x 945 = 20645016860160

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

313 : 1, 313

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,313,352,648,945, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

313:313

352:2x 2x 2x 2x 2x 11

648:2x 2x 2x 3x 3x 3x 3

945:3x 3x 3x 5x 7

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 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 20645016860160/(1x3888)

LCM = 20645016860160/3888

LCM = 5309932320

Thus, we can understand that the LCM of 306,313,352,648,945 is 5309932320.

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

• LCM of 665, 471, 140, 663, 953
• LCM of 170, 309, 321, 346, 317
• LCM of 155, 179, 214, 660, 718
• LCM of 392, 994, 767, 306, 310
• LCM of 746, 506, 259, 755, 192

1. What is the LCM of 306, 313, 352, 648, 945?

Answer: LCM of 306, 313, 352, 648, 945 is 5309932320.

2. How to calculate the LCM of 306, 313, 352, 648, 945?

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, 313, 352, 648, 945.

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}.