Given numbers are 333,540,438,630

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

The LCM of 333,540,438,630 is 10209780.

Find LCM of 333,540,438,630 with Prime Factorization

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

2 x 3 x 3 x 5 x 37 x 6 x 73 x 7 = 10209780

Therefore, the lowest common multiple of 333,540,438,630 is 10209780.

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.

333 x 540 x 438 x 630 = 49619530800

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.

333 : 1, 3, 9, 37, 111, 333

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

438 : 1, 2, 3, 6, 73, 146, 219, 438

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,540,438,630, is 3.

Now, the common factors can be found like this.

333:3x 3x 37

540:2x 2x 3x 3x 3x 5

438:2x 3x 73

630:2x 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 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 49619530800/(3x1620)

LCM = 49619530800/4860

LCM = 10209780

Thus, we can understand that the LCM of 333,540,438,630 is 10209780.

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

• LCM of 156, 633, 225, 348
• LCM of 146, 637, 408, 470
• LCM of 556, 842, 352, 977
• LCM of 781, 710, 611, 296
• LCM of 938, 556, 893, 530

1. What is the LCM of 333, 540, 438, 630?

Answer: LCM of 333, 540, 438, 630 is 10209780.

2. How to calculate the LCM of 333, 540, 438, 630?

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 333, 540, 438, 630.

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}.