LCM of 284, 480, 667, 261, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 480, 667, 261, 829 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 284, 480, 667, 261, 829. So, keep reading to learn more.
Given numbers are 284,480,667,261,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,480,667,261,829 is 56532892320.
Find LCM of 284,480,667,261,829 with Prime Factorization
| 2 | 284, 480, 667, 261, 829 |
| 2 | 142, 240, 667, 261, 829 |
| 3 | 71, 120, 667, 261, 829 |
| 29 | 71, 40, 667, 87, 829 |
| 71, 40, 23, 3, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 71 x 40 x 23 x 3 x 829 = 56532892320
Therefore, the lowest common multiple of 284,480,667,261,829 is 56532892320.
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.
284 x 480 x 667 x 261 x 829 = 19673446527360
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.
284 : 1, 2, 4, 71, 142, 284
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
667 : 1, 23, 29, 667
261 : 1, 3, 9, 29, 87, 261
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,480,667,261,829, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
480:2x 2x 2x 2x 2x 3x 5
667:23x 29
261:3x 3x 29
829:829
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 19673446527360/(1x348)
LCM = 19673446527360/348
LCM = 56532892320
Thus, we can understand that the LCM of 284,480,667,261,829 is 56532892320.
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FAQs on LCM of 284, 480, 667, 261, 829
1. What is the LCM of 284, 480, 667, 261, 829?
Answer: LCM of 284, 480, 667, 261, 829 is 56532892320.
2. How to calculate the LCM of 284, 480, 667, 261, 829?
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 284, 480, 667, 261, 829.
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}.