LCM of 853, 741, 432, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 741, 432, 593 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 853, 741, 432, 593. So, keep reading to learn more.
Given numbers are 853,741,432,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,741,432,593 is 53973977616.
Find LCM of 853,741,432,593 with Prime Factorization
| 3 | 853, 741, 432, 593 |
| 853, 247, 144, 593 |
Multiply the prime numbers at the bottom and the left side.
3 x 853 x 247 x 144 x 593 = 53973977616
Therefore, the lowest common multiple of 853,741,432,593 is 53973977616.
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.
853 x 741 x 432 x 593 = 161921932848
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.
853 : 1, 853
741 : 1, 3, 13, 19, 39, 57, 247, 741
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,741,432,593, is 1.
Now, the common factors can be found like this.
853:853
741:3x 13x 19
432:2x 2x 2x 2x 3x 3x 3
593:593
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 161921932848/(1x3)
LCM = 161921932848/3
LCM = 53973977616
Thus, we can understand that the LCM of 853,741,432,593 is 53973977616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 853, 741, 432, 593
1. What is the LCM of 853, 741, 432, 593?
Answer: LCM of 853, 741, 432, 593 is 53973977616.
2. How to calculate the LCM of 853, 741, 432, 593?
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 853, 741, 432, 593.
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}.