LCM of 317, 824, 240, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 824, 240, 214 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 317, 824, 240, 214. So, keep reading to learn more.
Given numbers are 317,824,240,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,824,240,214 is 838477680.
Find LCM of 317,824,240,214 with Prime Factorization
| 2 | 317, 824, 240, 214 |
| 2 | 317, 412, 120, 107 |
| 2 | 317, 206, 60, 107 |
| 317, 103, 30, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 317 x 103 x 30 x 107 = 838477680
Therefore, the lowest common multiple of 317,824,240,214 is 838477680.
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.
317 x 824 x 240 x 214 = 13415642880
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.
317 : 1, 317
824 : 1, 2, 4, 8, 103, 206, 412, 824
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,824,240,214, is 1.
Now, the common factors can be found like this.
317:317
824:2x 2x 2x 103
240:2x 2x 2x 2x 3x 5
214:2x 107
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 2 = 16
Therefore, the value for common factors is 16.
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 = 13415642880/(1x16)
LCM = 13415642880/16
LCM = 838477680
Thus, we can understand that the LCM of 317,824,240,214 is 838477680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 317, 824, 240, 214
1. What is the LCM of 317, 824, 240, 214?
Answer: LCM of 317, 824, 240, 214 is 838477680.
2. How to calculate the LCM of 317, 824, 240, 214?
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 317, 824, 240, 214.
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}.