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LCM of 3199, 8953

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


Find the LCM of 3199, 8953 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 3199, 8953. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3199,8953

Given numbers are 3199,8953

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

The LCM of 3199,8953 is 4091521.

Find LCM of 3199,8953 with Prime Factorization


7 3199, 8953
457, 1279

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

7 x 457 x 1279 = 4091521

Therefore, the lowest common multiple of 3199,8953 is 4091521.

LCM Formula to Find Lowest Common Multiple of 3199,8953

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.

3199 x 8953 = 28640647

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.

3199 : 1, 7, 457, 3199

8953 : 1, 7, 1279, 8953

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3199,8953, is 7.

Now, the common factors can be found like this.

3199:7x 457

8953:7x 1279

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

= 1

Therefore, the value for common factors is 1.

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 = 28640647/(7x1)

LCM = 28640647/7

LCM = 4091521

Thus, we can understand that the LCM of 3199,8953 is 4091521.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3199, 8953

1. What is the LCM of 3199, 8953?

Answer: LCM of 3199, 8953 is 4091521.

2. How to calculate the LCM of 3199, 8953?

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 3199, 8953.

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}.