LCM of 539, 793, 883, 427, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 793, 883, 427, 741 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 539, 793, 883, 427, 741. So, keep reading to learn more.
Given numbers are 539,793,883,427,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,793,883,427,741 is 21512828337.
Find LCM of 539,793,883,427,741 with Prime Factorization
| 7 | 539, 793, 883, 427, 741 |
| 13 | 77, 793, 883, 61, 741 |
| 61 | 77, 61, 883, 61, 57 |
| 77, 1, 883, 1, 57 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 61 x 77 x 1 x 883 x 1 x 57 = 21512828337
Therefore, the lowest common multiple of 539,793,883,427,741 is 21512828337.
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.
539 x 793 x 883 x 427 x 741 = 119417710098687
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.
539 : 1, 7, 11, 49, 77, 539
793 : 1, 13, 61, 793
883 : 1, 883
427 : 1, 7, 61, 427
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,793,883,427,741, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
793:13x 61
883:883
427:7x 61
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 61 = 5551
Therefore, the value for common factors is 5551.
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 = 119417710098687/(1x5551)
LCM = 119417710098687/5551
LCM = 21512828337
Thus, we can understand that the LCM of 539,793,883,427,741 is 21512828337.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 793, 883, 427, 741
1. What is the LCM of 539, 793, 883, 427, 741?
Answer: LCM of 539, 793, 883, 427, 741 is 21512828337.
2. How to calculate the LCM of 539, 793, 883, 427, 741?
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 539, 793, 883, 427, 741.
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}.