LCM of 105, 849, 859, 566, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 849, 859, 566, 341 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 105, 849, 859, 566, 341. So, keep reading to learn more.
Given numbers are 105,849,859,566,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,849,859,566,341 is 17408176170.
Find LCM of 105,849,859,566,341 with Prime Factorization
| 3 | 105, 849, 859, 566, 341 |
| 283 | 35, 283, 859, 566, 341 |
| 35, 1, 859, 2, 341 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 35 x 1 x 859 x 2 x 341 = 17408176170
Therefore, the lowest common multiple of 105,849,859,566,341 is 17408176170.
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.
105 x 849 x 859 x 566 x 341 = 14779541568330
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
849 : 1, 3, 283, 849
859 : 1, 859
566 : 1, 2, 283, 566
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,849,859,566,341, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
849:3x 283
859:859
566:2x 283
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 283 = 849
Therefore, the value for common factors is 849.
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 = 14779541568330/(1x849)
LCM = 14779541568330/849
LCM = 17408176170
Thus, we can understand that the LCM of 105,849,859,566,341 is 17408176170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 105, 849, 859, 566, 341
1. What is the LCM of 105, 849, 859, 566, 341?
Answer: LCM of 105, 849, 859, 566, 341 is 17408176170.
2. How to calculate the LCM of 105, 849, 859, 566, 341?
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 105, 849, 859, 566, 341.
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}.