LCM of 943, 858, 322, 493, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 858, 322, 493, 799 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 943, 858, 322, 493, 799. So, keep reading to learn more.
Given numbers are 943,858,322,493,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,858,322,493,799 is 131232619518.
Find LCM of 943,858,322,493,799 with Prime Factorization
| 2 | 943, 858, 322, 493, 799 |
| 17 | 943, 429, 161, 493, 799 |
| 23 | 943, 429, 161, 29, 47 |
| 41, 429, 7, 29, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 41 x 429 x 7 x 29 x 47 = 131232619518
Therefore, the lowest common multiple of 943,858,322,493,799 is 131232619518.
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.
943 x 858 x 322 x 493 x 799 = 102623908463076
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.
943 : 1, 23, 41, 943
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
322 : 1, 2, 7, 14, 23, 46, 161, 322
493 : 1, 17, 29, 493
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,858,322,493,799, is 1.
Now, the common factors can be found like this.
943:23x 41
858:2x 3x 11x 13
322:2x 7x 23
493:17x 29
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 23 = 782
Therefore, the value for common factors is 782.
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 = 102623908463076/(1x782)
LCM = 102623908463076/782
LCM = 131232619518
Thus, we can understand that the LCM of 943,858,322,493,799 is 131232619518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 943, 858, 322, 493, 799
1. What is the LCM of 943, 858, 322, 493, 799?
Answer: LCM of 943, 858, 322, 493, 799 is 131232619518.
2. How to calculate the LCM of 943, 858, 322, 493, 799?
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 943, 858, 322, 493, 799.
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}.