Given numbers are 783,414,923,990

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

The LCM of 783,414,923,990 is 1828453770.

Find LCM of 783,414,923,990 with Prime Factorization

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

2 x 3 x 3 x 87 x 23 x 923 x 55 = 1828453770

Therefore, the lowest common multiple of 783,414,923,990 is 1828453770.

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.

783 x 414 x 923 x 990 = 296209510740

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

923 : 1, 13, 71, 923

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,414,923,990, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

414:2x 3x 3x 23

923:13x 71

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 296209510740/(1x162)

LCM = 296209510740/162

LCM = 1828453770

Thus, we can understand that the LCM of 783,414,923,990 is 1828453770.

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

• LCM of 613, 203, 705, 156
• LCM of 827, 875, 721, 277
• LCM of 914, 589, 105, 870
• LCM of 188, 296, 739, 604
• LCM of 207, 676, 473, 596

1. What is the LCM of 783, 414, 923, 990?

Answer: LCM of 783, 414, 923, 990 is 1828453770.

2. How to calculate the LCM of 783, 414, 923, 990?

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 783, 414, 923, 990.

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}.