LCM of 221, 832, 969, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 832, 969, 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 221, 832, 969, 288. So, keep reading to learn more.
Given numbers are 221,832,969,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,832,969,288 is 2418624.
Find LCM of 221,832,969,288 with Prime Factorization
| 2 | 221, 832, 969, 288 |
| 2 | 221, 416, 969, 144 |
| 2 | 221, 208, 969, 72 |
| 2 | 221, 104, 969, 36 |
| 2 | 221, 52, 969, 18 |
| 3 | 221, 26, 969, 9 |
| 13 | 221, 26, 323, 3 |
| 17 | 17, 2, 323, 3 |
| 1, 2, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 1 x 2 x 19 x 3 = 2418624
Therefore, the lowest common multiple of 221,832,969,288 is 2418624.
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.
221 x 832 x 969 x 288 = 51313526784
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.
221 : 1, 13, 17, 221
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 221,832,969,288, is 1.
Now, the common factors can be found like this.
221:13x 17
832:2x 2x 2x 2x 2x 2x 13
969:3x 17x 19
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 2x 2x 2x 3x 13x 17 = 21216
Therefore, the value for common factors is 21216.
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 = 51313526784/(1x21216)
LCM = 51313526784/21216
LCM = 2418624
Thus, we can understand that the LCM of 221,832,969,288 is 2418624.
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FAQs on LCM of 221, 832, 969, 288
1. What is the LCM of 221, 832, 969, 288?
Answer: LCM of 221, 832, 969, 288 is 2418624.
2. How to calculate the LCM of 221, 832, 969, 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 221, 832, 969, 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}.