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LCM of 905, 687, 492, 929, 413

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


Find the LCM of 905, 687, 492, 929, 413 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 905, 687, 492, 929, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,687,492,929,413

Given numbers are 905,687,492,929,413

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

The LCM of 905,687,492,929,413 is 39121448813580.

Find LCM of 905,687,492,929,413 with Prime Factorization


3 905, 687, 492, 929, 413
905, 229, 164, 929, 413

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

3 x 905 x 229 x 164 x 929 x 413 = 39121448813580

Therefore, the lowest common multiple of 905,687,492,929,413 is 39121448813580.

LCM Formula to Find Lowest Common Multiple of 905,687,492,929,413

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.

905 x 687 x 492 x 929 x 413 = 117364346440740

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.

905 : 1, 5, 181, 905

687 : 1, 3, 229, 687

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

929 : 1, 929

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,687,492,929,413, is 1.

Now, the common factors can be found like this.

905:5x 181

687:3x 229

492:2x 2x 3x 41

929:929

413:7x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 117364346440740/(1x3)

LCM = 117364346440740/3

LCM = 39121448813580

Thus, we can understand that the LCM of 905,687,492,929,413 is 39121448813580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 687, 492, 929, 413

1. What is the LCM of 905, 687, 492, 929, 413?

Answer: LCM of 905, 687, 492, 929, 413 is 39121448813580.

2. How to calculate the LCM of 905, 687, 492, 929, 413?

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 905, 687, 492, 929, 413.

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}.