LCM of 855, 190, 684, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 190, 684, 822 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 855, 190, 684, 822. So, keep reading to learn more.
Given numbers are 855,190,684,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,190,684,822 is 468540.
Find LCM of 855,190,684,822 with Prime Factorization
| 2 | 855, 190, 684, 822 |
| 3 | 855, 95, 342, 411 |
| 3 | 285, 95, 114, 137 |
| 5 | 95, 95, 38, 137 |
| 19 | 19, 19, 38, 137 |
| 1, 1, 2, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 1 x 1 x 2 x 137 = 468540
Therefore, the lowest common multiple of 855,190,684,822 is 468540.
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.
855 x 190 x 684 x 822 = 91337187600
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
190 : 1, 2, 5, 10, 19, 38, 95, 190
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,190,684,822, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
190:2x 5x 19
684:2x 2x 3x 3x 19
822:2x 3x 137
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 5x 19x 19 = 194940
Therefore, the value for common factors is 194940.
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 = 91337187600/(1x194940)
LCM = 91337187600/194940
LCM = 468540
Thus, we can understand that the LCM of 855,190,684,822 is 468540.
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FAQs on LCM of 855, 190, 684, 822
1. What is the LCM of 855, 190, 684, 822?
Answer: LCM of 855, 190, 684, 822 is 468540.
2. How to calculate the LCM of 855, 190, 684, 822?
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 855, 190, 684, 822.
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}.