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LCM of 192, 104, 767, 673

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


Find the LCM of 192, 104, 767, 673 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 192, 104, 767, 673. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,104,767,673

Given numbers are 192,104,767,673

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

The LCM of 192,104,767,673 is 99108672.

Find LCM of 192,104,767,673 with Prime Factorization


2 192, 104, 767, 673
2 96, 52, 767, 673
2 48, 26, 767, 673
13 24, 13, 767, 673
24, 1, 59, 673

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

2 x 2 x 2 x 13 x 24 x 1 x 59 x 673 = 99108672

Therefore, the lowest common multiple of 192,104,767,673 is 99108672.

LCM Formula to Find Lowest Common Multiple of 192,104,767,673

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.

192 x 104 x 767 x 673 = 10307301888

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

767 : 1, 13, 59, 767

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,104,767,673, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

104:2x 2x 2x 13

767:13x 59

673:673

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

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 10307301888/(1x104)

LCM = 10307301888/104

LCM = 99108672

Thus, we can understand that the LCM of 192,104,767,673 is 99108672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 104, 767, 673

1. What is the LCM of 192, 104, 767, 673?

Answer: LCM of 192, 104, 767, 673 is 99108672.

2. How to calculate the LCM of 192, 104, 767, 673?

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 192, 104, 767, 673.

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}.