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LCM of 861, 689, 273, 768

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


Find the LCM of 861, 689, 273, 768 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 861, 689, 273, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,689,273,768

Given numbers are 861,689,273,768

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

The LCM of 861,689,273,768 is 151866624.

Find LCM of 861,689,273,768 with Prime Factorization


3 861, 689, 273, 768
7 287, 689, 91, 256
13 41, 689, 13, 256
41, 53, 1, 256

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

3 x 7 x 13 x 41 x 53 x 1 x 256 = 151866624

Therefore, the lowest common multiple of 861,689,273,768 is 151866624.

LCM Formula to Find Lowest Common Multiple of 861,689,273,768

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.

861 x 689 x 273 x 768 = 124378765056

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

689 : 1, 13, 53, 689

273 : 1, 3, 7, 13, 21, 39, 91, 273

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,689,273,768, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

689:13x 53

273:3x 7x 13

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

3x 3x 7x 13 = 819

Therefore, the value for common factors is 819.

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 = 124378765056/(1x819)

LCM = 124378765056/819

LCM = 151866624

Thus, we can understand that the LCM of 861,689,273,768 is 151866624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 689, 273, 768

1. What is the LCM of 861, 689, 273, 768?

Answer: LCM of 861, 689, 273, 768 is 151866624.

2. How to calculate the LCM of 861, 689, 273, 768?

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 861, 689, 273, 768.

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}.