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LCM of 996, 880, 806, 727, 105

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 996, 880, 806, 727, 105 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 996, 880, 806, 727, 105. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,880,806,727,105

Given numbers are 996,880,806,727,105

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

The LCM of 996,880,806,727,105 is 449385977040.

Find LCM of 996,880,806,727,105 with Prime Factorization


2 996, 880, 806, 727, 105
2 498, 440, 403, 727, 105
3 249, 220, 403, 727, 105
5 83, 220, 403, 727, 35
83, 44, 403, 727, 7

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

2 x 2 x 3 x 5 x 83 x 44 x 403 x 727 x 7 = 449385977040

Therefore, the lowest common multiple of 996,880,806,727,105 is 449385977040.

LCM Formula to Find Lowest Common Multiple of 996,880,806,727,105

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.

996 x 880 x 806 x 727 x 105 = 53926317244800

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

806 : 1, 2, 13, 26, 31, 62, 403, 806

727 : 1, 727

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,880,806,727,105, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

880:2x 2x 2x 2x 5x 11

806:2x 13x 31

727:727

105:3x 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 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 53926317244800/(1x120)

LCM = 53926317244800/120

LCM = 449385977040

Thus, we can understand that the LCM of 996,880,806,727,105 is 449385977040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 880, 806, 727, 105

1. What is the LCM of 996, 880, 806, 727, 105?

Answer: LCM of 996, 880, 806, 727, 105 is 449385977040.

2. How to calculate the LCM of 996, 880, 806, 727, 105?

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 996, 880, 806, 727, 105.

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}.