LCM of 585, 893, 542, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 893, 542, 993 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 585, 893, 542, 993. So, keep reading to learn more.
Given numbers are 585,893,542,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,893,542,993 is 93720501810.
Find LCM of 585,893,542,993 with Prime Factorization
| 3 | 585, 893, 542, 993 |
| 195, 893, 542, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 195 x 893 x 542 x 331 = 93720501810
Therefore, the lowest common multiple of 585,893,542,993 is 93720501810.
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.
585 x 893 x 542 x 993 = 281161505430
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
893 : 1, 19, 47, 893
542 : 1, 2, 271, 542
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,893,542,993, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
893:19x 47
542:2x 271
993:3x 331
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 = 281161505430/(1x3)
LCM = 281161505430/3
LCM = 93720501810
Thus, we can understand that the LCM of 585,893,542,993 is 93720501810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 585, 893, 542, 993
1. What is the LCM of 585, 893, 542, 993?
Answer: LCM of 585, 893, 542, 993 is 93720501810.
2. How to calculate the LCM of 585, 893, 542, 993?
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 585, 893, 542, 993.
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}.