LCM of 808, 943, 451, 786, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 943, 451, 786, 195 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 808, 943, 451, 786, 195. So, keep reading to learn more.
Given numbers are 808,943,451,786,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,943,451,786,195 is 214102454280.
Find LCM of 808,943,451,786,195 with Prime Factorization
| 2 | 808, 943, 451, 786, 195 |
| 3 | 404, 943, 451, 393, 195 |
| 41 | 404, 943, 451, 131, 65 |
| 404, 23, 11, 131, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 404 x 23 x 11 x 131 x 65 = 214102454280
Therefore, the lowest common multiple of 808,943,451,786,195 is 214102454280.
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.
808 x 943 x 451 x 786 x 195 = 52669203752880
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
943 : 1, 23, 41, 943
451 : 1, 11, 41, 451
786 : 1, 2, 3, 6, 131, 262, 393, 786
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,943,451,786,195, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
943:23x 41
451:11x 41
786:2x 3x 131
195:3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 41 = 246
Therefore, the value for common factors is 246.
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 = 52669203752880/(1x246)
LCM = 52669203752880/246
LCM = 214102454280
Thus, we can understand that the LCM of 808,943,451,786,195 is 214102454280.
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FAQs on LCM of 808, 943, 451, 786, 195
1. What is the LCM of 808, 943, 451, 786, 195?
Answer: LCM of 808, 943, 451, 786, 195 is 214102454280.
2. How to calculate the LCM of 808, 943, 451, 786, 195?
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 808, 943, 451, 786, 195.
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}.