LCM of 796, 186, 450, 600, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 186, 450, 600, 828 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 796, 186, 450, 600, 828. So, keep reading to learn more.
Given numbers are 796,186,450,600,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,186,450,600,828 is 255396600.
Find LCM of 796,186,450,600,828 with Prime Factorization
| 2 | 796, 186, 450, 600, 828 |
| 2 | 398, 93, 225, 300, 414 |
| 3 | 199, 93, 225, 150, 207 |
| 3 | 199, 31, 75, 50, 69 |
| 5 | 199, 31, 25, 50, 23 |
| 5 | 199, 31, 5, 10, 23 |
| 199, 31, 1, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 199 x 31 x 1 x 2 x 23 = 255396600
Therefore, the lowest common multiple of 796,186,450,600,828 is 255396600.
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.
796 x 186 x 450 x 600 x 828 = 33099399360000
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.
796 : 1, 2, 4, 199, 398, 796
186 : 1, 2, 3, 6, 31, 62, 93, 186
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,186,450,600,828, is 2.
Now, the common factors can be found like this.
796:2x 2x 199
186:2x 3x 31
450:2x 3x 3x 5x 5
600:2x 2x 2x 3x 5x 5
828:2x 2x 3x 3x 23
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 2x 2x 3x 3x 3x 3x 5x 5 = 64800
Therefore, the value for common factors is 64800.
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 = 33099399360000/(2x64800)
LCM = 33099399360000/129600
LCM = 255396600
Thus, we can understand that the LCM of 796,186,450,600,828 is 255396600.
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FAQs on LCM of 796, 186, 450, 600, 828
1. What is the LCM of 796, 186, 450, 600, 828?
Answer: LCM of 796, 186, 450, 600, 828 is 255396600.
2. How to calculate the LCM of 796, 186, 450, 600, 828?
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 796, 186, 450, 600, 828.
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}.