LCM of 321, 534, 696, 330, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 534, 696, 330, 261 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 321, 534, 696, 330, 261. So, keep reading to learn more.
Given numbers are 321,534,696,330,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,534,696,330,261 is 1093621320.
Find LCM of 321,534,696,330,261 with Prime Factorization
| 2 | 321, 534, 696, 330, 261 |
| 3 | 321, 267, 348, 165, 261 |
| 29 | 107, 89, 116, 55, 87 |
| 107, 89, 4, 55, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 107 x 89 x 4 x 55 x 3 = 1093621320
Therefore, the lowest common multiple of 321,534,696,330,261 is 1093621320.
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.
321 x 534 x 696 x 330 x 261 = 10275665922720
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.
321 : 1, 3, 107, 321
534 : 1, 2, 3, 6, 89, 178, 267, 534
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
261 : 1, 3, 9, 29, 87, 261
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,534,696,330,261, is 3.
Now, the common factors can be found like this.
321:3x 107
534:2x 3x 89
696:2x 2x 2x 3x 29
330:2x 3x 5x 11
261:3x 3x 29
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 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 10275665922720/(3x3132)
LCM = 10275665922720/9396
LCM = 1093621320
Thus, we can understand that the LCM of 321,534,696,330,261 is 1093621320.
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FAQs on LCM of 321, 534, 696, 330, 261
1. What is the LCM of 321, 534, 696, 330, 261?
Answer: LCM of 321, 534, 696, 330, 261 is 1093621320.
2. How to calculate the LCM of 321, 534, 696, 330, 261?
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 321, 534, 696, 330, 261.
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}.