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LCM of 3485, 5899

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


Find the LCM of 3485, 5899 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 3485, 5899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3485,5899

Given numbers are 3485,5899

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

The LCM of 3485,5899 is 1209295.

Find LCM of 3485,5899 with Prime Factorization


17 3485, 5899
205, 347

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

17 x 205 x 347 = 1209295

Therefore, the lowest common multiple of 3485,5899 is 1209295.

LCM Formula to Find Lowest Common Multiple of 3485,5899

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.

3485 x 5899 = 20558015

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.

3485 : 1, 5, 17, 41, 85, 205, 697, 3485

5899 : 1, 17, 347, 5899

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3485,5899, is 17.

Now, the common factors can be found like this.

3485:5x 17x 41

5899:17x 347

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 = 20558015/(17x1)

LCM = 20558015/17

LCM = 1209295

Thus, we can understand that the LCM of 3485,5899 is 1209295.

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FAQs on LCM of 3485, 5899

1. What is the LCM of 3485, 5899?

Answer: LCM of 3485, 5899 is 1209295.

2. How to calculate the LCM of 3485, 5899?

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 3485, 5899.

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}.