LCM of 822, 961, 382, 685, 122
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 961, 382, 685, 122 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 822, 961, 382, 685, 122. So, keep reading to learn more.
Given numbers are 822,961,382,685,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,961,382,685,122 is 46018071210.
Find LCM of 822,961,382,685,122 with Prime Factorization
| 2 | 822, 961, 382, 685, 122 |
| 137 | 411, 961, 191, 685, 61 |
| 3, 961, 191, 5, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 3 x 961 x 191 x 5 x 61 = 46018071210
Therefore, the lowest common multiple of 822,961,382,685,122 is 46018071210.
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.
822 x 961 x 382 x 685 x 122 = 25217903023080
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
961 : 1, 31, 961
382 : 1, 2, 191, 382
685 : 1, 5, 137, 685
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,961,382,685,122, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
961:31x 31
382:2x 191
685:5x 137
122:2x 61
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 137 = 548
Therefore, the value for common factors is 548.
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 = 25217903023080/(1x548)
LCM = 25217903023080/548
LCM = 46018071210
Thus, we can understand that the LCM of 822,961,382,685,122 is 46018071210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 961, 382, 685, 122
1. What is the LCM of 822, 961, 382, 685, 122?
Answer: LCM of 822, 961, 382, 685, 122 is 46018071210.
2. How to calculate the LCM of 822, 961, 382, 685, 122?
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 822, 961, 382, 685, 122.
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}.