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LCM of 9230, 3905

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


Find the LCM of 9230, 3905 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 9230, 3905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9230,3905

Given numbers are 9230,3905

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

The LCM of 9230,3905 is 101530.

Find LCM of 9230,3905 with Prime Factorization


5 9230, 3905
71 1846, 781
26, 11

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

5 x 71 x 26 x 11 = 101530

Therefore, the lowest common multiple of 9230,3905 is 101530.

LCM Formula to Find Lowest Common Multiple of 9230,3905

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.

9230 x 3905 = 36043150

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.

9230 : 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230

3905 : 1, 5, 11, 55, 71, 355, 781, 3905

355 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9230,3905, is 355.

Now, the common factors can be found like this.

9230:2x 5x 13x 71

3905:5x 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 = 36043150/(355x1)

LCM = 36043150/355

LCM = 101530

Thus, we can understand that the LCM of 9230,3905 is 101530.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9230, 3905

1. What is the LCM of 9230, 3905?

Answer: LCM of 9230, 3905 is 101530.

2. How to calculate the LCM of 9230, 3905?

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 9230, 3905.

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}.