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LCM of 781, 814, 819, 138

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


Find the LCM of 781, 814, 819, 138 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, 814, 819, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,814,819,138

Given numbers are 781,814,819,138

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

The LCM of 781,814,819,138 is 1088665578.

Find LCM of 781,814,819,138 with Prime Factorization


2 781, 814, 819, 138
3 781, 407, 819, 69
11 781, 407, 273, 23
71, 37, 273, 23

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

2 x 3 x 11 x 71 x 37 x 273 x 23 = 1088665578

Therefore, the lowest common multiple of 781,814,819,138 is 1088665578.

LCM Formula to Find Lowest Common Multiple of 781,814,819,138

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 814 x 819 x 138 = 71851928148

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,814,819,138, is 1.

Now, the common factors can be found like this.

781:11x 71

814:2x 11x 37

819:3x 3x 7x 13

138:2x 3x 23

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 71851928148/(1x66)

LCM = 71851928148/66

LCM = 1088665578

Thus, we can understand that the LCM of 781,814,819,138 is 1088665578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 814, 819, 138

1. What is the LCM of 781, 814, 819, 138?

Answer: LCM of 781, 814, 819, 138 is 1088665578.

2. How to calculate the LCM of 781, 814, 819, 138?

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, 814, 819, 138.

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}.