LCM of 333, 598, 360, 114, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 598, 360, 114, 815 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 333, 598, 360, 114, 815. So, keep reading to learn more.
Given numbers are 333,598,360,114,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,598,360,114,815 is 12334359960.
Find LCM of 333,598,360,114,815 with Prime Factorization
| 2 | 333, 598, 360, 114, 815 |
| 3 | 333, 299, 180, 57, 815 |
| 3 | 111, 299, 60, 19, 815 |
| 5 | 37, 299, 20, 19, 815 |
| 37, 299, 4, 19, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 37 x 299 x 4 x 19 x 163 = 12334359960
Therefore, the lowest common multiple of 333,598,360,114,815 is 12334359960.
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.
333 x 598 x 360 x 114 x 815 = 6660554378400
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.
333 : 1, 3, 9, 37, 111, 333
598 : 1, 2, 13, 23, 26, 46, 299, 598
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
114 : 1, 2, 3, 6, 19, 38, 57, 114
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,598,360,114,815, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
598:2x 13x 23
360:2x 2x 2x 3x 3x 5
114:2x 3x 19
815:5x 163
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 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 6660554378400/(1x540)
LCM = 6660554378400/540
LCM = 12334359960
Thus, we can understand that the LCM of 333,598,360,114,815 is 12334359960.
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FAQs on LCM of 333, 598, 360, 114, 815
1. What is the LCM of 333, 598, 360, 114, 815?
Answer: LCM of 333, 598, 360, 114, 815 is 12334359960.
2. How to calculate the LCM of 333, 598, 360, 114, 815?
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 333, 598, 360, 114, 815.
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}.