LCM of 993, 975, 996, 273, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 975, 996, 273, 877 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 993, 975, 996, 273, 877. So, keep reading to learn more.
Given numbers are 993,975,996,273,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,975,996,273,877 is 657761313300.
Find LCM of 993,975,996,273,877 with Prime Factorization
| 3 | 993, 975, 996, 273, 877 |
| 13 | 331, 325, 332, 91, 877 |
| 331, 25, 332, 7, 877 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 331 x 25 x 332 x 7 x 877 = 657761313300
Therefore, the lowest common multiple of 993,975,996,273,877 is 657761313300.
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.
993 x 975 x 996 x 273 x 877 = 230874220968300
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.
993 : 1, 3, 331, 993
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
273 : 1, 3, 7, 13, 21, 39, 91, 273
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,975,996,273,877, is 1.
Now, the common factors can be found like this.
993:3x 331
975:3x 5x 5x 13
996:2x 2x 3x 83
273:3x 7x 13
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 230874220968300/(1x351)
LCM = 230874220968300/351
LCM = 657761313300
Thus, we can understand that the LCM of 993,975,996,273,877 is 657761313300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 975, 996, 273, 877
1. What is the LCM of 993, 975, 996, 273, 877?
Answer: LCM of 993, 975, 996, 273, 877 is 657761313300.
2. How to calculate the LCM of 993, 975, 996, 273, 877?
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 993, 975, 996, 273, 877.
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}.