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LCM of 3399, 5467

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


Find the LCM of 3399, 5467 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 3399, 5467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3399,5467

Given numbers are 3399,5467

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

The LCM of 3399,5467 is 1689303.

Find LCM of 3399,5467 with Prime Factorization


11 3399, 5467
309, 497

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

11 x 309 x 497 = 1689303

Therefore, the lowest common multiple of 3399,5467 is 1689303.

LCM Formula to Find Lowest Common Multiple of 3399,5467

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.

3399 x 5467 = 18582333

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.

3399 : 1, 3, 11, 33, 103, 309, 1133, 3399

5467 : 1, 7, 11, 71, 77, 497, 781, 5467

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3399,5467, is 11.

Now, the common factors can be found like this.

3399:3x 11x 103

5467:7x 11x 71

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 = 18582333/(11x1)

LCM = 18582333/11

LCM = 1689303

Thus, we can understand that the LCM of 3399,5467 is 1689303.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3399, 5467

1. What is the LCM of 3399, 5467?

Answer: LCM of 3399, 5467 is 1689303.

2. How to calculate the LCM of 3399, 5467?

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 3399, 5467.

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}.