LCM of 822, 152, 206, 340, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 152, 206, 340, 398 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, 152, 206, 340, 398. So, keep reading to learn more.
Given numbers are 822,152,206,340,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,152,206,340,398 is 108841529640.
Find LCM of 822,152,206,340,398 with Prime Factorization
| 2 | 822, 152, 206, 340, 398 |
| 2 | 411, 76, 103, 170, 199 |
| 411, 38, 103, 85, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 411 x 38 x 103 x 85 x 199 = 108841529640
Therefore, the lowest common multiple of 822,152,206,340,398 is 108841529640.
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 152 x 206 x 340 x 398 = 3482928948480
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
152 : 1, 2, 4, 8, 19, 38, 76, 152
206 : 1, 2, 103, 206
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
398 : 1, 2, 199, 398
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,152,206,340,398, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
152:2x 2x 2x 19
206:2x 103
340:2x 2x 5x 17
398:2x 199
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 = 3482928948480/(2x16)
LCM = 3482928948480/32
LCM = 108841529640
Thus, we can understand that the LCM of 822,152,206,340,398 is 108841529640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 152, 206, 340, 398
1. What is the LCM of 822, 152, 206, 340, 398?
Answer: LCM of 822, 152, 206, 340, 398 is 108841529640.
2. How to calculate the LCM of 822, 152, 206, 340, 398?
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, 152, 206, 340, 398.
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}.