Given numbers are 306,122,364,312,900

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

The LCM of 306,122,364,312,900 is 169860600.

Find LCM of 306,122,364,312,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 17 x 61 x 7 x 2 x 25 = 169860600

Therefore, the lowest common multiple of 306,122,364,312,900 is 169860600.

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 122 x 364 x 312 x 900 = 3815748518400

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

122 : 1, 2, 61, 122

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,122,364,312,900, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

122:2x 61

364:2x 2x 7x 13

312:2x 2x 2x 3x 13

900:2x 2x 3x 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 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 3815748518400/(2x11232)

LCM = 3815748518400/22464

LCM = 169860600

Thus, we can understand that the LCM of 306,122,364,312,900 is 169860600.

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

• LCM of 333, 484, 379, 603, 775
• LCM of 739, 390, 227, 959, 995
• LCM of 677, 335, 862, 622, 143
• LCM of 825, 756, 113, 597, 997
• LCM of 880, 392, 723, 678, 787

1. What is the LCM of 306, 122, 364, 312, 900?

Answer: LCM of 306, 122, 364, 312, 900 is 169860600.

2. How to calculate the LCM of 306, 122, 364, 312, 900?

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, 122, 364, 312, 900.

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}.