LCM of 629, 822, 959, 824, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 822, 959, 824, 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 629, 822, 959, 824, 817. So, keep reading to learn more.
Given numbers are 629,822,959,824,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,822,959,824,817 is 1218259412664.
Find LCM of 629,822,959,824,817 with Prime Factorization
| 2 | 629, 822, 959, 824, 817 |
| 137 | 629, 411, 959, 412, 817 |
| 629, 3, 7, 412, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 629 x 3 x 7 x 412 x 817 = 1218259412664
Therefore, the lowest common multiple of 629,822,959,824,817 is 1218259412664.
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.
629 x 822 x 959 x 824 x 817 = 333803079069936
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.
629 : 1, 17, 37, 629
822 : 1, 2, 3, 6, 137, 274, 411, 822
959 : 1, 7, 137, 959
824 : 1, 2, 4, 8, 103, 206, 412, 824
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,822,959,824,817, is 1.
Now, the common factors can be found like this.
629:17x 37
822:2x 3x 137
959:7x 137
824:2x 2x 2x 103
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.
2x 137 = 274
Therefore, the value for common factors is 274.
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 = 333803079069936/(1x274)
LCM = 333803079069936/274
LCM = 1218259412664
Thus, we can understand that the LCM of 629,822,959,824,817 is 1218259412664.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 629, 822, 959, 824, 817
1. What is the LCM of 629, 822, 959, 824, 817?
Answer: LCM of 629, 822, 959, 824, 817 is 1218259412664.
2. How to calculate the LCM of 629, 822, 959, 824, 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 629, 822, 959, 824, 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}.