LCM of 873, 114, 164, 902, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 114, 164, 902, 822 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 873, 114, 164, 902, 822. So, keep reading to learn more.
Given numbers are 873,114,164,902,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,114,164,902,822 is 4099443876.
Find LCM of 873,114,164,902,822 with Prime Factorization
| 2 | 873, 114, 164, 902, 822 |
| 3 | 873, 57, 82, 451, 411 |
| 41 | 291, 19, 82, 451, 137 |
| 291, 19, 2, 11, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 291 x 19 x 2 x 11 x 137 = 4099443876
Therefore, the lowest common multiple of 873,114,164,902,822 is 4099443876.
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.
873 x 114 x 164 x 902 x 822 = 12101558321952
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.
873 : 1, 3, 9, 97, 291, 873
114 : 1, 2, 3, 6, 19, 38, 57, 114
164 : 1, 2, 4, 41, 82, 164
902 : 1, 2, 11, 22, 41, 82, 451, 902
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,114,164,902,822, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
114:2x 3x 19
164:2x 2x 41
902:2x 11x 41
822:2x 3x 137
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 3x 3x 41 = 2952
Therefore, the value for common factors is 2952.
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 = 12101558321952/(1x2952)
LCM = 12101558321952/2952
LCM = 4099443876
Thus, we can understand that the LCM of 873,114,164,902,822 is 4099443876.
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FAQs on LCM of 873, 114, 164, 902, 822
1. What is the LCM of 873, 114, 164, 902, 822?
Answer: LCM of 873, 114, 164, 902, 822 is 4099443876.
2. How to calculate the LCM of 873, 114, 164, 902, 822?
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 873, 114, 164, 902, 822.
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}.