Given numbers are 900,335,310,390

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

The LCM of 900,335,310,390 is 24300900.

Find LCM of 900,335,310,390 with Prime Factorization

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

2 x 3 x 5 x 30 x 67 x 31 x 13 = 24300900

Therefore, the lowest common multiple of 900,335,310,390 is 24300900.

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.

900 x 335 x 310 x 390 = 36451350000

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.

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

335 : 1, 5, 67, 335

310 : 1, 2, 5, 10, 31, 62, 155, 310

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,335,310,390, is 5.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

335:5x 67

310:2x 5x 31

390:2x 3x 5x 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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 36451350000/(5x300)

LCM = 36451350000/1500

LCM = 24300900

Thus, we can understand that the LCM of 900,335,310,390 is 24300900.

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

• LCM of 613, 290, 984, 827
• LCM of 489, 734, 389, 918
• LCM of 781, 523, 150, 733
• LCM of 109, 560, 286, 156
• LCM of 689, 301, 833, 399

1. What is the LCM of 900, 335, 310, 390?

Answer: LCM of 900, 335, 310, 390 is 24300900.

2. How to calculate the LCM of 900, 335, 310, 390?

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 900, 335, 310, 390.

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}.