Given numbers are 638,924,330,900

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

The LCM of 638,924,330,900 is 2009700.

Find LCM of 638,924,330,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 7 x 1 x 15 = 2009700

Therefore, the lowest common multiple of 638,924,330,900 is 2009700.

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.

638 x 924 x 330 x 900 = 175085064000

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 638,924,330,900, is 2.

Now, the common factors can be found like this.

638:2x 11x 29

924:2x 2x 3x 7x 11

330:2x 3x 5x 11

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 3x 3x 5x 11x 11 = 43560

Therefore, the value for common factors is 43560.

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 = 175085064000/(2x43560)

LCM = 175085064000/87120

LCM = 2009700

Thus, we can understand that the LCM of 638,924,330,900 is 2009700.

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

• LCM of 729, 176, 744, 171
• LCM of 970, 546, 969, 126
• LCM of 516, 251, 918, 164
• LCM of 993, 743, 253, 366
• LCM of 244, 874, 254, 560

1. What is the LCM of 638, 924, 330, 900?

Answer: LCM of 638, 924, 330, 900 is 2009700.

2. How to calculate the LCM of 638, 924, 330, 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 638, 924, 330, 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}.