LCM of 821, 788, 418, 997, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 788, 418, 997, 836 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 821, 788, 418, 997, 836. So, keep reading to learn more.
Given numbers are 821,788,418,997,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,788,418,997,836 is 134806495604.
Find LCM of 821,788,418,997,836 with Prime Factorization
| 2 | 821, 788, 418, 997, 836 |
| 2 | 821, 394, 209, 997, 418 |
| 11 | 821, 197, 209, 997, 209 |
| 19 | 821, 197, 19, 997, 19 |
| 821, 197, 1, 997, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 821 x 197 x 1 x 997 x 1 = 134806495604
Therefore, the lowest common multiple of 821,788,418,997,836 is 134806495604.
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.
821 x 788 x 418 x 997 x 836 = 225396460649888
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.
821 : 1, 821
788 : 1, 2, 4, 197, 394, 788
418 : 1, 2, 11, 19, 22, 38, 209, 418
997 : 1, 997
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,788,418,997,836, is 1.
Now, the common factors can be found like this.
821:821
788:2x 2x 197
418:2x 11x 19
997:997
836:2x 2x 11x 19
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 225396460649888/(1x1672)
LCM = 225396460649888/1672
LCM = 134806495604
Thus, we can understand that the LCM of 821,788,418,997,836 is 134806495604.
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FAQs on LCM of 821, 788, 418, 997, 836
1. What is the LCM of 821, 788, 418, 997, 836?
Answer: LCM of 821, 788, 418, 997, 836 is 134806495604.
2. How to calculate the LCM of 821, 788, 418, 997, 836?
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 821, 788, 418, 997, 836.
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}.