LCM of 810, 652, 699, 338, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 652, 699, 338, 905 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 810, 652, 699, 338, 905. So, keep reading to learn more.
Given numbers are 810,652,699,338,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,652,699,338,905 is 1882018202220.
Find LCM of 810,652,699,338,905 with Prime Factorization
| 2 | 810, 652, 699, 338, 905 |
| 3 | 405, 326, 699, 169, 905 |
| 5 | 135, 326, 233, 169, 905 |
| 27, 326, 233, 169, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 27 x 326 x 233 x 169 x 181 = 1882018202220
Therefore, the lowest common multiple of 810,652,699,338,905 is 1882018202220.
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.
810 x 652 x 699 x 338 x 905 = 112921092133200
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
652 : 1, 2, 4, 163, 326, 652
699 : 1, 3, 233, 699
338 : 1, 2, 13, 26, 169, 338
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,652,699,338,905, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
652:2x 2x 163
699:3x 233
338:2x 13x 13
905:5x 181
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 5 = 60
Therefore, the value for common factors is 60.
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 = 112921092133200/(1x60)
LCM = 112921092133200/60
LCM = 1882018202220
Thus, we can understand that the LCM of 810,652,699,338,905 is 1882018202220.
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FAQs on LCM of 810, 652, 699, 338, 905
1. What is the LCM of 810, 652, 699, 338, 905?
Answer: LCM of 810, 652, 699, 338, 905 is 1882018202220.
2. How to calculate the LCM of 810, 652, 699, 338, 905?
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 810, 652, 699, 338, 905.
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}.