LCM of 821, 770, 258, 990, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 770, 258, 990, 849 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, 770, 258, 990, 849. So, keep reading to learn more.
Given numbers are 821,770,258,990,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,770,258,990,849 is 69235890570.
Find LCM of 821,770,258,990,849 with Prime Factorization
| 2 | 821, 770, 258, 990, 849 |
| 3 | 821, 385, 129, 495, 849 |
| 5 | 821, 385, 43, 165, 283 |
| 11 | 821, 77, 43, 33, 283 |
| 821, 7, 43, 3, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 821 x 7 x 43 x 3 x 283 = 69235890570
Therefore, the lowest common multiple of 821,770,258,990,849 is 69235890570.
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 770 x 258 x 990 x 849 = 137087063328600
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
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
258 : 1, 2, 3, 6, 43, 86, 129, 258
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,770,258,990,849, is 1.
Now, the common factors can be found like this.
821:821
770:2x 5x 7x 11
258:2x 3x 43
990:2x 3x 3x 5x 11
849:3x 283
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 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 137087063328600/(1x1980)
LCM = 137087063328600/1980
LCM = 69235890570
Thus, we can understand that the LCM of 821,770,258,990,849 is 69235890570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 821, 770, 258, 990, 849
1. What is the LCM of 821, 770, 258, 990, 849?
Answer: LCM of 821, 770, 258, 990, 849 is 69235890570.
2. How to calculate the LCM of 821, 770, 258, 990, 849?
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, 770, 258, 990, 849.
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}.