LCM of 823, 814, 451, 152, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 814, 451, 152, 194 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 823, 814, 451, 152, 194. So, keep reading to learn more.
Given numbers are 823,814,451,152,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,814,451,152,194 is 202485264344.
Find LCM of 823,814,451,152,194 with Prime Factorization
| 2 | 823, 814, 451, 152, 194 |
| 11 | 823, 407, 451, 76, 97 |
| 823, 37, 41, 76, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 823 x 37 x 41 x 76 x 97 = 202485264344
Therefore, the lowest common multiple of 823,814,451,152,194 is 202485264344.
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.
823 x 814 x 451 x 152 x 194 = 8909351631136
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.
823 : 1, 823
814 : 1, 2, 11, 22, 37, 74, 407, 814
451 : 1, 11, 41, 451
152 : 1, 2, 4, 8, 19, 38, 76, 152
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,814,451,152,194, is 1.
Now, the common factors can be found like this.
823:823
814:2x 11x 37
451:11x 41
152:2x 2x 2x 19
194:2x 97
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 11 = 44
Therefore, the value for common factors is 44.
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 = 8909351631136/(1x44)
LCM = 8909351631136/44
LCM = 202485264344
Thus, we can understand that the LCM of 823,814,451,152,194 is 202485264344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 823, 814, 451, 152, 194
1. What is the LCM of 823, 814, 451, 152, 194?
Answer: LCM of 823, 814, 451, 152, 194 is 202485264344.
2. How to calculate the LCM of 823, 814, 451, 152, 194?
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 823, 814, 451, 152, 194.
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}.