LCM of 867, 414, 396, 433, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 414, 396, 433, 198 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 867, 414, 396, 433, 198. So, keep reading to learn more.
Given numbers are 867,414,396,433,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,414,396,433,198 is 1139747796.
Find LCM of 867,414,396,433,198 with Prime Factorization
| 2 | 867, 414, 396, 433, 198 |
| 3 | 867, 207, 198, 433, 99 |
| 3 | 289, 69, 66, 433, 33 |
| 11 | 289, 23, 22, 433, 11 |
| 289, 23, 2, 433, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 289 x 23 x 2 x 433 x 1 = 1139747796
Therefore, the lowest common multiple of 867,414,396,433,198 is 1139747796.
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.
867 x 414 x 396 x 433 x 198 = 12186183434832
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.
867 : 1, 3, 17, 51, 289, 867
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
433 : 1, 433
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,414,396,433,198, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
414:2x 3x 3x 23
396:2x 2x 3x 3x 11
433:433
198:2x 3x 3x 11
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 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 12186183434832/(1x10692)
LCM = 12186183434832/10692
LCM = 1139747796
Thus, we can understand that the LCM of 867,414,396,433,198 is 1139747796.
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FAQs on LCM of 867, 414, 396, 433, 198
1. What is the LCM of 867, 414, 396, 433, 198?
Answer: LCM of 867, 414, 396, 433, 198 is 1139747796.
2. How to calculate the LCM of 867, 414, 396, 433, 198?
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 867, 414, 396, 433, 198.
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}.