LCM of 972, 455, 115, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 455, 115, 288 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 972, 455, 115, 288. So, keep reading to learn more.
Given numbers are 972,455,115,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,455,115,288 is 81375840.
Find LCM of 972,455,115,288 with Prime Factorization
| 2 | 972, 455, 115, 288 |
| 2 | 486, 455, 115, 144 |
| 3 | 243, 455, 115, 72 |
| 3 | 81, 455, 115, 24 |
| 5 | 27, 455, 115, 8 |
| 27, 91, 23, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 27 x 91 x 23 x 8 = 81375840
Therefore, the lowest common multiple of 972,455,115,288 is 81375840.
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.
972 x 455 x 115 x 288 = 14647651200
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
455 : 1, 5, 7, 13, 35, 65, 91, 455
115 : 1, 5, 23, 115
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,455,115,288, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
455:5x 7x 13
115:5x 23
288:2x 2x 2x 2x 2x 3x 3
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 14647651200/(1x180)
LCM = 14647651200/180
LCM = 81375840
Thus, we can understand that the LCM of 972,455,115,288 is 81375840.
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FAQs on LCM of 972, 455, 115, 288
1. What is the LCM of 972, 455, 115, 288?
Answer: LCM of 972, 455, 115, 288 is 81375840.
2. How to calculate the LCM of 972, 455, 115, 288?
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 972, 455, 115, 288.
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}.