LCM of 993, 425, 381, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 425, 381, 975 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, 425, 381, 975. So, keep reading to learn more.
Given numbers are 993,425,381,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,425,381,975 is 696763275.
Find LCM of 993,425,381,975 with Prime Factorization
| 3 | 993, 425, 381, 975 |
| 5 | 331, 425, 127, 325 |
| 5 | 331, 85, 127, 65 |
| 331, 17, 127, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 331 x 17 x 127 x 13 = 696763275
Therefore, the lowest common multiple of 993,425,381,975 is 696763275.
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 425 x 381 x 975 = 156771736875
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
425 : 1, 5, 17, 25, 85, 425
381 : 1, 3, 127, 381
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,425,381,975, is 1.
Now, the common factors can be found like this.
993:3x 331
425:5x 5x 17
381:3x 127
975:3x 5x 5x 13
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 156771736875/(1x225)
LCM = 156771736875/225
LCM = 696763275
Thus, we can understand that the LCM of 993,425,381,975 is 696763275.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 425, 381, 975
1. What is the LCM of 993, 425, 381, 975?
Answer: LCM of 993, 425, 381, 975 is 696763275.
2. How to calculate the LCM of 993, 425, 381, 975?
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, 425, 381, 975.
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}.