LCM of 696, 771, 824, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 771, 824, 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 696, 771, 824, 288. So, keep reading to learn more.
Given numbers are 696,771,824,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,771,824,288 is 221085792.
Find LCM of 696,771,824,288 with Prime Factorization
| 2 | 696, 771, 824, 288 |
| 2 | 348, 771, 412, 144 |
| 2 | 174, 771, 206, 72 |
| 3 | 87, 771, 103, 36 |
| 29, 257, 103, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 257 x 103 x 12 = 221085792
Therefore, the lowest common multiple of 696,771,824,288 is 221085792.
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.
696 x 771 x 824 x 288 = 127345416192
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
771 : 1, 3, 257, 771
824 : 1, 2, 4, 8, 103, 206, 412, 824
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 696,771,824,288, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
771:3x 257
824:2x 2x 2x 103
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 127345416192/(1x576)
LCM = 127345416192/576
LCM = 221085792
Thus, we can understand that the LCM of 696,771,824,288 is 221085792.
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FAQs on LCM of 696, 771, 824, 288
1. What is the LCM of 696, 771, 824, 288?
Answer: LCM of 696, 771, 824, 288 is 221085792.
2. How to calculate the LCM of 696, 771, 824, 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 696, 771, 824, 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}.