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LCM of 95, 53, 86, 38, 799

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


Find the LCM of 95, 53, 86, 38, 799 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 95, 53, 86, 38, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 95,53,86,38,799

Given numbers are 95,53,86,38,799

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

The LCM of 95,53,86,38,799 is 345974990.

Find LCM of 95,53,86,38,799 with Prime Factorization


2 95, 53, 86, 38, 799
19 95, 53, 43, 19, 799
5, 53, 43, 1, 799

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

2 x 19 x 5 x 53 x 43 x 1 x 799 = 345974990

Therefore, the lowest common multiple of 95,53,86,38,799 is 345974990.

LCM Formula to Find Lowest Common Multiple of 95,53,86,38,799

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.

95 x 53 x 86 x 38 x 799 = 13147049620

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.

95 : 1, 5, 19, 95

53 : 1, 53

86 : 1, 2, 43, 86

38 : 1, 2, 19, 38

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 95,53,86,38,799, is 1.

Now, the common factors can be found like this.

95:5x 19

53:53

86:2x 43

38:2x 19

799:17x 47

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 13147049620/(1x38)

LCM = 13147049620/38

LCM = 345974990

Thus, we can understand that the LCM of 95,53,86,38,799 is 345974990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 95, 53, 86, 38, 799

1. What is the LCM of 95, 53, 86, 38, 799?

Answer: LCM of 95, 53, 86, 38, 799 is 345974990.

2. How to calculate the LCM of 95, 53, 86, 38, 799?

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 95, 53, 86, 38, 799.

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}.