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LCM of 926, 662, 990, 806, 104

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


Find the LCM of 926, 662, 990, 806, 104 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 926, 662, 990, 806, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,662,990,806,104

Given numbers are 926,662,990,806,104

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

The LCM of 926,662,990,806,104 is 244573397640.

Find LCM of 926,662,990,806,104 with Prime Factorization


2 926, 662, 990, 806, 104
13 463, 331, 495, 403, 52
463, 331, 495, 31, 4

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

2 x 13 x 463 x 331 x 495 x 31 x 4 = 244573397640

Therefore, the lowest common multiple of 926,662,990,806,104 is 244573397640.

LCM Formula to Find Lowest Common Multiple of 926,662,990,806,104

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.

926 x 662 x 990 x 806 x 104 = 50871266709120

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.

926 : 1, 2, 463, 926

662 : 1, 2, 331, 662

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

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,662,990,806,104, is 2.

Now, the common factors can be found like this.

926:2x 463

662:2x 331

990:2x 3x 3x 5x 11

806:2x 13x 31

104:2x 2x 2x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 50871266709120/(2x104)

LCM = 50871266709120/208

LCM = 244573397640

Thus, we can understand that the LCM of 926,662,990,806,104 is 244573397640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 662, 990, 806, 104

1. What is the LCM of 926, 662, 990, 806, 104?

Answer: LCM of 926, 662, 990, 806, 104 is 244573397640.

2. How to calculate the LCM of 926, 662, 990, 806, 104?

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 926, 662, 990, 806, 104.

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}.