LCM of 829, 849, 842, 129, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 849, 842, 129, 817 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 829, 849, 842, 129, 817. So, keep reading to learn more.
Given numbers are 829,849,842,129,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,849,842,129,817 is 484168319394.
Find LCM of 829,849,842,129,817 with Prime Factorization
| 3 | 829, 849, 842, 129, 817 |
| 43 | 829, 283, 842, 43, 817 |
| 829, 283, 842, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 829 x 283 x 842 x 1 x 19 = 484168319394
Therefore, the lowest common multiple of 829,849,842,129,817 is 484168319394.
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.
829 x 849 x 842 x 129 x 817 = 62457713201826
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.
829 : 1, 829
849 : 1, 3, 283, 849
842 : 1, 2, 421, 842
129 : 1, 3, 43, 129
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,849,842,129,817, is 1.
Now, the common factors can be found like this.
829:829
849:3x 283
842:2x 421
129:3x 43
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 62457713201826/(1x129)
LCM = 62457713201826/129
LCM = 484168319394
Thus, we can understand that the LCM of 829,849,842,129,817 is 484168319394.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 849, 842, 129, 817
1. What is the LCM of 829, 849, 842, 129, 817?
Answer: LCM of 829, 849, 842, 129, 817 is 484168319394.
2. How to calculate the LCM of 829, 849, 842, 129, 817?
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 829, 849, 842, 129, 817.
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}.