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LCM of 351, 105, 199, 351

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


Find the LCM of 351, 105, 199, 351 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 351, 105, 199, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,105,199,351

Given numbers are 351,105,199,351

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

The LCM of 351,105,199,351 is 2444715.

Find LCM of 351,105,199,351 with Prime Factorization


3 351, 105, 199, 351
3 117, 35, 199, 117
3 39, 35, 199, 39
13 13, 35, 199, 13
1, 35, 199, 1

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

3 x 3 x 3 x 13 x 1 x 35 x 199 x 1 = 2444715

Therefore, the lowest common multiple of 351,105,199,351 is 2444715.

LCM Formula to Find Lowest Common Multiple of 351,105,199,351

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.

351 x 105 x 199 x 351 = 2574284895

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.

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

199 : 1, 199

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,105,199,351, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

105:3x 5x 7

199:199

351:3x 3x 3x 13

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

3x 3x 3x 3x 13 = 1053

Therefore, the value for common factors is 1053.

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 = 2574284895/(1x1053)

LCM = 2574284895/1053

LCM = 2444715

Thus, we can understand that the LCM of 351,105,199,351 is 2444715.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 105, 199, 351

1. What is the LCM of 351, 105, 199, 351?

Answer: LCM of 351, 105, 199, 351 is 2444715.

2. How to calculate the LCM of 351, 105, 199, 351?

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 351, 105, 199, 351.

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}.