Given numbers are 920,306,268,596,600

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

The LCM of 920,306,268,596,600 is 7026035400.

Find LCM of 920,306,268,596,600 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 51 x 67 x 149 x 5 = 7026035400

Therefore, the lowest common multiple of 920,306,268,596,600 is 7026035400.

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.

920 x 306 x 268 x 596 x 600 = 26979975936000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

268 : 1, 2, 4, 67, 134, 268

596 : 1, 2, 4, 149, 298, 596

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,306,268,596,600, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

306:2x 3x 3x 17

268:2x 2x 67

596:2x 2x 149

600:2x 2x 2x 3x 5x 5

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 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 26979975936000/(2x1920)

LCM = 26979975936000/3840

LCM = 7026035400

Thus, we can understand that the LCM of 920,306,268,596,600 is 7026035400.

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

• LCM of 421, 685, 967, 700, 547
• LCM of 445, 931, 222, 856, 185
• LCM of 957, 449, 875, 583, 451
• LCM of 853, 433, 850, 485, 214
• LCM of 844, 447, 931, 124, 370

1. What is the LCM of 920, 306, 268, 596, 600?

Answer: LCM of 920, 306, 268, 596, 600 is 7026035400.

2. How to calculate the LCM of 920, 306, 268, 596, 600?

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 920, 306, 268, 596, 600.

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}.