LCM of 993, 943, 868, 806, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 943, 868, 806, 667 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 993, 943, 868, 806, 667. So, keep reading to learn more.
Given numbers are 993,943,868,806,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,943,868,806,667 is 306423463164.
Find LCM of 993,943,868,806,667 with Prime Factorization
| 2 | 993, 943, 868, 806, 667 |
| 23 | 993, 943, 434, 403, 667 |
| 31 | 993, 41, 434, 403, 29 |
| 993, 41, 14, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 31 x 993 x 41 x 14 x 13 x 29 = 306423463164
Therefore, the lowest common multiple of 993,943,868,806,667 is 306423463164.
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.
993 x 943 x 868 x 806 x 667 = 436959858471864
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.
993 : 1, 3, 331, 993
943 : 1, 23, 41, 943
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
806 : 1, 2, 13, 26, 31, 62, 403, 806
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,943,868,806,667, is 1.
Now, the common factors can be found like this.
993:3x 331
943:23x 41
868:2x 2x 7x 31
806:2x 13x 31
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 31 = 1426
Therefore, the value for common factors is 1426.
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 = 436959858471864/(1x1426)
LCM = 436959858471864/1426
LCM = 306423463164
Thus, we can understand that the LCM of 993,943,868,806,667 is 306423463164.
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FAQs on LCM of 993, 943, 868, 806, 667
1. What is the LCM of 993, 943, 868, 806, 667?
Answer: LCM of 993, 943, 868, 806, 667 is 306423463164.
2. How to calculate the LCM of 993, 943, 868, 806, 667?
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 993, 943, 868, 806, 667.
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}.