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LCM of 995, 990, 429, 806

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


Find the LCM of 995, 990, 429, 806 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 995, 990, 429, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,990,429,806

Given numbers are 995,990,429,806

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

The LCM of 995,990,429,806 is 79395030.

Find LCM of 995,990,429,806 with Prime Factorization


2 995, 990, 429, 806
3 995, 495, 429, 403
5 995, 165, 143, 403
11 199, 33, 143, 403
13 199, 3, 13, 403
199, 3, 1, 31

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

2 x 3 x 5 x 11 x 13 x 199 x 3 x 1 x 31 = 79395030

Therefore, the lowest common multiple of 995,990,429,806 is 79395030.

LCM Formula to Find Lowest Common Multiple of 995,990,429,806

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.

995 x 990 x 429 x 806 = 340604678700

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.

995 : 1, 5, 199, 995

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,990,429,806, is 1.

Now, the common factors can be found like this.

995:5x 199

990:2x 3x 3x 5x 11

429:3x 11x 13

806:2x 13x 31

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 5x 11x 13 = 4290

Therefore, the value for common factors is 4290.

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 = 340604678700/(1x4290)

LCM = 340604678700/4290

LCM = 79395030

Thus, we can understand that the LCM of 995,990,429,806 is 79395030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 990, 429, 806

1. What is the LCM of 995, 990, 429, 806?

Answer: LCM of 995, 990, 429, 806 is 79395030.

2. How to calculate the LCM of 995, 990, 429, 806?

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 995, 990, 429, 806.

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}.