LCM of 252, 308, 993, 844, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 308, 993, 844, 115 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 252, 308, 993, 844, 115. So, keep reading to learn more.
Given numbers are 252,308,993,844,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,308,993,844,115 is 22263913980.
Find LCM of 252,308,993,844,115 with Prime Factorization
| 2 | 252, 308, 993, 844, 115 |
| 2 | 126, 154, 993, 422, 115 |
| 3 | 63, 77, 993, 211, 115 |
| 7 | 21, 77, 331, 211, 115 |
| 3, 11, 331, 211, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 3 x 11 x 331 x 211 x 115 = 22263913980
Therefore, the lowest common multiple of 252,308,993,844,115 is 22263913980.
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.
252 x 308 x 993 x 844 x 115 = 7480675097280
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
993 : 1, 3, 331, 993
844 : 1, 2, 4, 211, 422, 844
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,308,993,844,115, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
308:2x 2x 7x 11
993:3x 331
844:2x 2x 211
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 7480675097280/(1x336)
LCM = 7480675097280/336
LCM = 22263913980
Thus, we can understand that the LCM of 252,308,993,844,115 is 22263913980.
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FAQs on LCM of 252, 308, 993, 844, 115
1. What is the LCM of 252, 308, 993, 844, 115?
Answer: LCM of 252, 308, 993, 844, 115 is 22263913980.
2. How to calculate the LCM of 252, 308, 993, 844, 115?
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 252, 308, 993, 844, 115.
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}.