LCM of 835, 355, 917, 621, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 355, 917, 621, 391 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 835, 355, 917, 621, 391. So, keep reading to learn more.
Given numbers are 835,355,917,621,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,355,917,621,391 is 573924390165.
Find LCM of 835,355,917,621,391 with Prime Factorization
| 5 | 835, 355, 917, 621, 391 |
| 23 | 167, 71, 917, 621, 391 |
| 167, 71, 917, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 167 x 71 x 917 x 27 x 17 = 573924390165
Therefore, the lowest common multiple of 835,355,917,621,391 is 573924390165.
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.
835 x 355 x 917 x 621 x 391 = 66001304868975
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.
835 : 1, 5, 167, 835
355 : 1, 5, 71, 355
917 : 1, 7, 131, 917
621 : 1, 3, 9, 23, 27, 69, 207, 621
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,355,917,621,391, is 1.
Now, the common factors can be found like this.
835:5x 167
355:5x 71
917:7x 131
621:3x 3x 3x 23
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 66001304868975/(1x115)
LCM = 66001304868975/115
LCM = 573924390165
Thus, we can understand that the LCM of 835,355,917,621,391 is 573924390165.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 355, 917, 621, 391
1. What is the LCM of 835, 355, 917, 621, 391?
Answer: LCM of 835, 355, 917, 621, 391 is 573924390165.
2. How to calculate the LCM of 835, 355, 917, 621, 391?
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 835, 355, 917, 621, 391.
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}.