LCM of 963, 480, 966, 856, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 480, 966, 856, 273 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 963, 480, 966, 856, 273. So, keep reading to learn more.
Given numbers are 963,480,966,856,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,480,966,856,273 is 322489440.
Find LCM of 963,480,966,856,273 with Prime Factorization
| 2 | 963, 480, 966, 856, 273 |
| 2 | 963, 240, 483, 428, 273 |
| 2 | 963, 120, 483, 214, 273 |
| 3 | 963, 60, 483, 107, 273 |
| 7 | 321, 20, 161, 107, 91 |
| 107 | 321, 20, 23, 107, 13 |
| 3, 20, 23, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 107 x 3 x 20 x 23 x 1 x 13 = 322489440
Therefore, the lowest common multiple of 963,480,966,856,273 is 322489440.
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.
963 x 480 x 966 x 856 x 273 = 104347263121920
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.
963 : 1, 3, 9, 107, 321, 963
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
856 : 1, 2, 4, 8, 107, 214, 428, 856
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,480,966,856,273, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
480:2x 2x 2x 2x 2x 3x 5
966:2x 3x 7x 23
856:2x 2x 2x 107
273:3x 7x 13
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 3x 7x 107 = 323568
Therefore, the value for common factors is 323568.
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 = 104347263121920/(1x323568)
LCM = 104347263121920/323568
LCM = 322489440
Thus, we can understand that the LCM of 963,480,966,856,273 is 322489440.
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FAQs on LCM of 963, 480, 966, 856, 273
1. What is the LCM of 963, 480, 966, 856, 273?
Answer: LCM of 963, 480, 966, 856, 273 is 322489440.
2. How to calculate the LCM of 963, 480, 966, 856, 273?
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 963, 480, 966, 856, 273.
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}.