LCM of 587, 448, 796, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 448, 796, 333 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 587, 448, 796, 333. So, keep reading to learn more.
Given numbers are 587,448,796,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,448,796,333 is 17426630592.
Find LCM of 587,448,796,333 with Prime Factorization
| 2 | 587, 448, 796, 333 |
| 2 | 587, 224, 398, 333 |
| 587, 112, 199, 333 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 587 x 112 x 199 x 333 = 17426630592
Therefore, the lowest common multiple of 587,448,796,333 is 17426630592.
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.
587 x 448 x 796 x 333 = 69706522368
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.
587 : 1, 587
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
796 : 1, 2, 4, 199, 398, 796
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,448,796,333, is 1.
Now, the common factors can be found like this.
587:587
448:2x 2x 2x 2x 2x 2x 7
796:2x 2x 199
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 69706522368/(1x4)
LCM = 69706522368/4
LCM = 17426630592
Thus, we can understand that the LCM of 587,448,796,333 is 17426630592.
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FAQs on LCM of 587, 448, 796, 333
1. What is the LCM of 587, 448, 796, 333?
Answer: LCM of 587, 448, 796, 333 is 17426630592.
2. How to calculate the LCM of 587, 448, 796, 333?
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 587, 448, 796, 333.
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}.