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LCM of 5235, 3531

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


Find the LCM of 5235, 3531 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 5235, 3531. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5235,3531

Given numbers are 5235,3531

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

The LCM of 5235,3531 is 6161595.

Find LCM of 5235,3531 with Prime Factorization


3 5235, 3531
1745, 1177

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

3 x 1745 x 1177 = 6161595

Therefore, the lowest common multiple of 5235,3531 is 6161595.

LCM Formula to Find Lowest Common Multiple of 5235,3531

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.

5235 x 3531 = 18484785

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.

5235 : 1, 3, 5, 15, 349, 1047, 1745, 5235

3531 : 1, 3, 11, 33, 107, 321, 1177, 3531

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5235,3531, is 3.

Now, the common factors can be found like this.

5235:3x 5x 349

3531:3x 11x 107

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 = 18484785/(3x1)

LCM = 18484785/3

LCM = 6161595

Thus, we can understand that the LCM of 5235,3531 is 6161595.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5235, 3531

1. What is the LCM of 5235, 3531?

Answer: LCM of 5235, 3531 is 6161595.

2. How to calculate the LCM of 5235, 3531?

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 5235, 3531.

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}.