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LCM of 346, 195, 858, 825, 819

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


Find the LCM of 346, 195, 858, 825, 819 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 346, 195, 858, 825, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,195,858,825,819

Given numbers are 346,195,858,825,819

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

The LCM of 346,195,858,825,819 is 77927850.

Find LCM of 346,195,858,825,819 with Prime Factorization


2 346, 195, 858, 825, 819
3 173, 195, 429, 825, 819
5 173, 65, 143, 275, 273
11 173, 13, 143, 55, 273
13 173, 13, 13, 5, 273
173, 1, 1, 5, 21

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

2 x 3 x 5 x 11 x 13 x 173 x 1 x 1 x 5 x 21 = 77927850

Therefore, the lowest common multiple of 346,195,858,825,819 is 77927850.

LCM Formula to Find Lowest Common Multiple of 346,195,858,825,819

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.

346 x 195 x 858 x 825 x 819 = 39114325750500

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.

346 : 1, 2, 173, 346

195 : 1, 3, 5, 13, 15, 39, 65, 195

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,195,858,825,819, is 1.

Now, the common factors can be found like this.

346:2x 173

195:3x 5x 13

858:2x 3x 11x 13

825:3x 5x 5x 11

819:3x 3x 7x 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 3x 3x 3x 5x 11x 13x 13 = 501930

Therefore, the value for common factors is 501930.

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 = 39114325750500/(1x501930)

LCM = 39114325750500/501930

LCM = 77927850

Thus, we can understand that the LCM of 346,195,858,825,819 is 77927850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 195, 858, 825, 819

1. What is the LCM of 346, 195, 858, 825, 819?

Answer: LCM of 346, 195, 858, 825, 819 is 77927850.

2. How to calculate the LCM of 346, 195, 858, 825, 819?

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 346, 195, 858, 825, 819.

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}.