LCM of 673, 289, 120, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 289, 120, 816 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 673, 289, 120, 816. So, keep reading to learn more.
Given numbers are 673,289,120,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,289,120,816 is 46679280.
Find LCM of 673,289,120,816 with Prime Factorization
| 2 | 673, 289, 120, 816 |
| 2 | 673, 289, 60, 408 |
| 2 | 673, 289, 30, 204 |
| 3 | 673, 289, 15, 102 |
| 17 | 673, 289, 5, 34 |
| 673, 17, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 673 x 17 x 5 x 2 = 46679280
Therefore, the lowest common multiple of 673,289,120,816 is 46679280.
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.
673 x 289 x 120 x 816 = 19045146240
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.
673 : 1, 673
289 : 1, 17, 289
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,289,120,816, is 1.
Now, the common factors can be found like this.
673:673
289:17x 17
120:2x 2x 2x 3x 5
816:2x 2x 2x 2x 3x 17
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 19045146240/(1x408)
LCM = 19045146240/408
LCM = 46679280
Thus, we can understand that the LCM of 673,289,120,816 is 46679280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 673, 289, 120, 816
1. What is the LCM of 673, 289, 120, 816?
Answer: LCM of 673, 289, 120, 816 is 46679280.
2. How to calculate the LCM of 673, 289, 120, 816?
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 673, 289, 120, 816.
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}.