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LCM of 995, 351, 314, 793

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


Find the LCM of 995, 351, 314, 793 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, 351, 314, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,351,314,793

Given numbers are 995,351,314,793

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

The LCM of 995,351,314,793 is 6689438730.

Find LCM of 995,351,314,793 with Prime Factorization


13 995, 351, 314, 793
995, 27, 314, 61

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

13 x 995 x 27 x 314 x 61 = 6689438730

Therefore, the lowest common multiple of 995,351,314,793 is 6689438730.

LCM Formula to Find Lowest Common Multiple of 995,351,314,793

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 351 x 314 x 793 = 86962703490

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

314 : 1, 2, 157, 314

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,351,314,793, is 1.

Now, the common factors can be found like this.

995:5x 199

351:3x 3x 3x 13

314:2x 157

793:13x 61

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

13 = 13

Therefore, the value for common factors is 13.

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 = 86962703490/(1x13)

LCM = 86962703490/13

LCM = 6689438730

Thus, we can understand that the LCM of 995,351,314,793 is 6689438730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 351, 314, 793

1. What is the LCM of 995, 351, 314, 793?

Answer: LCM of 995, 351, 314, 793 is 6689438730.

2. How to calculate the LCM of 995, 351, 314, 793?

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, 351, 314, 793.

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}.