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LCM of 781, 284, 195, 689, 399

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


Find the LCM of 781, 284, 195, 689, 399 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 781, 284, 195, 689, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,284,195,689,399

Given numbers are 781,284,195,689,399

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

The LCM of 781,284,195,689,399 is 4294109820.

Find LCM of 781,284,195,689,399 with Prime Factorization


3 781, 284, 195, 689, 399
13 781, 284, 65, 689, 133
71 781, 284, 5, 53, 133
11, 4, 5, 53, 133

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

3 x 13 x 71 x 11 x 4 x 5 x 53 x 133 = 4294109820

Therefore, the lowest common multiple of 781,284,195,689,399 is 4294109820.

LCM Formula to Find Lowest Common Multiple of 781,284,195,689,399

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.

781 x 284 x 195 x 689 x 399 = 11890390091580

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.

781 : 1, 11, 71, 781

284 : 1, 2, 4, 71, 142, 284

195 : 1, 3, 5, 13, 15, 39, 65, 195

689 : 1, 13, 53, 689

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,284,195,689,399, is 1.

Now, the common factors can be found like this.

781:11x 71

284:2x 2x 71

195:3x 5x 13

689:13x 53

399:3x 7x 19

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

3x 13x 71 = 2769

Therefore, the value for common factors is 2769.

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 = 11890390091580/(1x2769)

LCM = 11890390091580/2769

LCM = 4294109820

Thus, we can understand that the LCM of 781,284,195,689,399 is 4294109820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 284, 195, 689, 399

1. What is the LCM of 781, 284, 195, 689, 399?

Answer: LCM of 781, 284, 195, 689, 399 is 4294109820.

2. How to calculate the LCM of 781, 284, 195, 689, 399?

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 781, 284, 195, 689, 399.

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}.