LCM of 933, 816, 697, 320, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 816, 697, 320, 237 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 933, 816, 697, 320, 237. So, keep reading to learn more.
Given numbers are 933,816,697,320,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,816,697,320,237 is 16439609280.
Find LCM of 933,816,697,320,237 with Prime Factorization
| 2 | 933, 816, 697, 320, 237 |
| 2 | 933, 408, 697, 160, 237 |
| 2 | 933, 204, 697, 80, 237 |
| 2 | 933, 102, 697, 40, 237 |
| 3 | 933, 51, 697, 20, 237 |
| 17 | 311, 17, 697, 20, 79 |
| 311, 1, 41, 20, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 311 x 1 x 41 x 20 x 79 = 16439609280
Therefore, the lowest common multiple of 933,816,697,320,237 is 16439609280.
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.
933 x 816 x 697 x 320 x 237 = 40244163517440
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.
933 : 1, 3, 311, 933
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
697 : 1, 17, 41, 697
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,816,697,320,237, is 1.
Now, the common factors can be found like this.
933:3x 311
816:2x 2x 2x 2x 3x 17
697:17x 41
320:2x 2x 2x 2x 2x 2x 5
237:3x 79
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 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 40244163517440/(1x2448)
LCM = 40244163517440/2448
LCM = 16439609280
Thus, we can understand that the LCM of 933,816,697,320,237 is 16439609280.
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FAQs on LCM of 933, 816, 697, 320, 237
1. What is the LCM of 933, 816, 697, 320, 237?
Answer: LCM of 933, 816, 697, 320, 237 is 16439609280.
2. How to calculate the LCM of 933, 816, 697, 320, 237?
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 933, 816, 697, 320, 237.
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}.