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LCM of 469, 337, 327, 268

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


Find the LCM of 469, 337, 327, 268 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 469, 337, 327, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,337,327,268

Given numbers are 469,337,327,268

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

The LCM of 469,337,327,268 is 206733324.

Find LCM of 469,337,327,268 with Prime Factorization


67 469, 337, 327, 268
7, 337, 327, 4

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

67 x 7 x 337 x 327 x 4 = 206733324

Therefore, the lowest common multiple of 469,337,327,268 is 206733324.

LCM Formula to Find Lowest Common Multiple of 469,337,327,268

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.

469 x 337 x 327 x 268 = 13851132708

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.

469 : 1, 7, 67, 469

337 : 1, 337

327 : 1, 3, 109, 327

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,337,327,268, is 1.

Now, the common factors can be found like this.

469:7x 67

337:337

327:3x 109

268:2x 2x 67

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

67 = 67

Therefore, the value for common factors is 67.

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 = 13851132708/(1x67)

LCM = 13851132708/67

LCM = 206733324

Thus, we can understand that the LCM of 469,337,327,268 is 206733324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 337, 327, 268

1. What is the LCM of 469, 337, 327, 268?

Answer: LCM of 469, 337, 327, 268 is 206733324.

2. How to calculate the LCM of 469, 337, 327, 268?

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 469, 337, 327, 268.

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}.