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LCM of 9735, 3487

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


Find the LCM of 9735, 3487 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 9735, 3487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9735,3487

Given numbers are 9735,3487

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

The LCM of 9735,3487 is 3085995.

Find LCM of 9735,3487 with Prime Factorization


11 9735, 3487
885, 317

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

11 x 885 x 317 = 3085995

Therefore, the lowest common multiple of 9735,3487 is 3085995.

LCM Formula to Find Lowest Common Multiple of 9735,3487

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.

9735 x 3487 = 33945945

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.

9735 : 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735

3487 : 1, 11, 317, 3487

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9735,3487, is 11.

Now, the common factors can be found like this.

9735:3x 5x 11x 59

3487:11x 317

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 = 33945945/(11x1)

LCM = 33945945/11

LCM = 3085995

Thus, we can understand that the LCM of 9735,3487 is 3085995.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9735, 3487

1. What is the LCM of 9735, 3487?

Answer: LCM of 9735, 3487 is 3085995.

2. How to calculate the LCM of 9735, 3487?

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 9735, 3487.

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}.