LCM of 593, 713, 869, 943, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 713, 869, 943, 237 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 593, 713, 869, 943, 237. So, keep reading to learn more.
Given numbers are 593,713,869,943,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,713,869,943,237 is 45192785583.
Find LCM of 593,713,869,943,237 with Prime Factorization
| 23 | 593, 713, 869, 943, 237 |
| 79 | 593, 31, 869, 41, 237 |
| 593, 31, 11, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
23 x 79 x 593 x 31 x 11 x 41 x 3 = 45192785583
Therefore, the lowest common multiple of 593,713,869,943,237 is 45192785583.
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.
593 x 713 x 869 x 943 x 237 = 82115291404311
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.
593 : 1, 593
713 : 1, 23, 31, 713
869 : 1, 11, 79, 869
943 : 1, 23, 41, 943
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,713,869,943,237, is 1.
Now, the common factors can be found like this.
593:593
713:23x 31
869:11x 79
943:23x 41
237:3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 79 = 1817
Therefore, the value for common factors is 1817.
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 = 82115291404311/(1x1817)
LCM = 82115291404311/1817
LCM = 45192785583
Thus, we can understand that the LCM of 593,713,869,943,237 is 45192785583.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 593, 713, 869, 943, 237
1. What is the LCM of 593, 713, 869, 943, 237?
Answer: LCM of 593, 713, 869, 943, 237 is 45192785583.
2. How to calculate the LCM of 593, 713, 869, 943, 237?
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 593, 713, 869, 943, 237.
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}.