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LCM of 3910, 9401

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


Find the LCM of 3910, 9401 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 3910, 9401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3910,9401

Given numbers are 3910,9401

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

The LCM of 3910,9401 is 2162230.

Find LCM of 3910,9401 with Prime Factorization


17 3910, 9401
230, 553

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

17 x 230 x 553 = 2162230

Therefore, the lowest common multiple of 3910,9401 is 2162230.

LCM Formula to Find Lowest Common Multiple of 3910,9401

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.

3910 x 9401 = 36757910

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.

3910 : 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910

9401 : 1, 7, 17, 79, 119, 553, 1343, 9401

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3910,9401, is 17.

Now, the common factors can be found like this.

3910:2x 5x 17x 23

9401:7x 17x 79

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 = 36757910/(17x1)

LCM = 36757910/17

LCM = 2162230

Thus, we can understand that the LCM of 3910,9401 is 2162230.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3910, 9401

1. What is the LCM of 3910, 9401?

Answer: LCM of 3910, 9401 is 2162230.

2. How to calculate the LCM of 3910, 9401?

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 3910, 9401.

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}.