LCM of 704, 553, 217, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 553, 217, 896 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 704, 553, 217, 896. So, keep reading to learn more.
Given numbers are 704,553,217,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,553,217,896 is 24137344.
Find LCM of 704,553,217,896 with Prime Factorization
| 2 | 704, 553, 217, 896 |
| 2 | 352, 553, 217, 448 |
| 2 | 176, 553, 217, 224 |
| 2 | 88, 553, 217, 112 |
| 2 | 44, 553, 217, 56 |
| 2 | 22, 553, 217, 28 |
| 7 | 11, 553, 217, 14 |
| 11, 79, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 79 x 31 x 2 = 24137344
Therefore, the lowest common multiple of 704,553,217,896 is 24137344.
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.
704 x 553 x 217 x 896 = 75694710784
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
553 : 1, 7, 79, 553
217 : 1, 7, 31, 217
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,553,217,896, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
553:7x 79
217:7x 31
896:2x 2x 2x 2x 2x 2x 2x 7
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 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 75694710784/(1x3136)
LCM = 75694710784/3136
LCM = 24137344
Thus, we can understand that the LCM of 704,553,217,896 is 24137344.
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FAQs on LCM of 704, 553, 217, 896
1. What is the LCM of 704, 553, 217, 896?
Answer: LCM of 704, 553, 217, 896 is 24137344.
2. How to calculate the LCM of 704, 553, 217, 896?
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 704, 553, 217, 896.
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}.