LCM of 972, 437, 896, 768, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 437, 896, 768, 217 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, 437, 896, 768, 217. So, keep reading to learn more.
Given numbers are 972,437,896,768,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,437,896,768,217 is 5899122432.
Find LCM of 972,437,896,768,217 with Prime Factorization
| 2 | 972, 437, 896, 768, 217 |
| 2 | 486, 437, 448, 384, 217 |
| 2 | 243, 437, 224, 192, 217 |
| 2 | 243, 437, 112, 96, 217 |
| 2 | 243, 437, 56, 48, 217 |
| 2 | 243, 437, 28, 24, 217 |
| 2 | 243, 437, 14, 12, 217 |
| 3 | 243, 437, 7, 6, 217 |
| 7 | 81, 437, 7, 2, 217 |
| 81, 437, 1, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 81 x 437 x 1 x 2 x 31 = 5899122432
Therefore, the lowest common multiple of 972,437,896,768,217 is 5899122432.
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 437 x 896 x 768 x 217 = 63427364388864
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
437 : 1, 19, 23, 437
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,437,896,768,217, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
437:19x 23
896:2x 2x 2x 2x 2x 2x 2x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
217:7x 31
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 2x 2x 2x 2x 2x 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 63427364388864/(1x10752)
LCM = 63427364388864/10752
LCM = 5899122432
Thus, we can understand that the LCM of 972,437,896,768,217 is 5899122432.
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FAQs on LCM of 972, 437, 896, 768, 217
1. What is the LCM of 972, 437, 896, 768, 217?
Answer: LCM of 972, 437, 896, 768, 217 is 5899122432.
2. How to calculate the LCM of 972, 437, 896, 768, 217?
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, 437, 896, 768, 217.
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}.