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LCM of 451, 313, 165

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


Find the LCM of 451, 313, 165 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 451, 313, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,313,165

Given numbers are 451,313,165

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

The LCM of 451,313,165 is 2117445.

Find LCM of 451,313,165 with Prime Factorization


11 451, 313, 165
41, 313, 15

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

11 x 41 x 313 x 15 = 2117445

Therefore, the lowest common multiple of 451,313,165 is 2117445.

LCM Formula to Find Lowest Common Multiple of 451,313,165

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.

451 x 313 x 165 = 23291895

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.

451 : 1, 11, 41, 451

313 : 1, 313

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,313,165, is 1.

Now, the common factors can be found like this.

451:11x 41

313:313

165:3x 5x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 23291895/(1x11)

LCM = 23291895/11

LCM = 2117445

Thus, we can understand that the LCM of 451,313,165 is 2117445.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 451, 313, 165

1. What is the LCM of 451, 313, 165?

Answer: LCM of 451, 313, 165 is 2117445.

2. How to calculate the LCM of 451, 313, 165?

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 451, 313, 165.

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}.