Given numbers are 990,292,907,984,860

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

The LCM of 990,292,907,984,860 is 462250772280.

Find LCM of 990,292,907,984,860 with Prime Factorization

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

2 x 2 x 3 x 5 x 33 x 73 x 907 x 82 x 43 = 462250772280

Therefore, the lowest common multiple of 990,292,907,984,860 is 462250772280.

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.

990 x 292 x 907 x 984 x 860 = 221880370694400

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

292 : 1, 2, 4, 73, 146, 292

907 : 1, 907

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,292,907,984,860, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

292:2x 2x 73

907:907

984:2x 2x 2x 3x 41

860:2x 2x 5x 43

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 5 = 480

Therefore, the value for common factors is 480.

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 = 221880370694400/(1x480)

LCM = 221880370694400/480

LCM = 462250772280

Thus, we can understand that the LCM of 990,292,907,984,860 is 462250772280.

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

• LCM of 329, 608, 113, 224, 401
• LCM of 543, 489, 902, 601, 494
• LCM of 620, 822, 403, 611, 168
• LCM of 284, 423, 622, 281, 975
• LCM of 773, 229, 940, 183, 431

1. What is the LCM of 990, 292, 907, 984, 860?

Answer: LCM of 990, 292, 907, 984, 860 is 462250772280.

2. How to calculate the LCM of 990, 292, 907, 984, 860?

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 990, 292, 907, 984, 860.

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}.