LCM of 896, 381, 376, 672, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 381, 376, 672, 412 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 896, 381, 376, 672, 412. So, keep reading to learn more.
Given numbers are 896,381,376,672,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,381,376,672,412 is 1652601216.
Find LCM of 896,381,376,672,412 with Prime Factorization
| 2 | 896, 381, 376, 672, 412 |
| 2 | 448, 381, 188, 336, 206 |
| 2 | 224, 381, 94, 168, 103 |
| 2 | 112, 381, 47, 84, 103 |
| 2 | 56, 381, 47, 42, 103 |
| 3 | 28, 381, 47, 21, 103 |
| 7 | 28, 127, 47, 7, 103 |
| 4, 127, 47, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 4 x 127 x 47 x 1 x 103 = 1652601216
Therefore, the lowest common multiple of 896,381,376,672,412 is 1652601216.
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.
896 x 381 x 376 x 672 x 412 = 35537536548864
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
381 : 1, 3, 127, 381
376 : 1, 2, 4, 8, 47, 94, 188, 376
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,381,376,672,412, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
381:3x 127
376:2x 2x 2x 47
672:2x 2x 2x 2x 2x 3x 7
412:2x 2x 103
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 2x 2x 2x 2x 3x 7 = 21504
Therefore, the value for common factors is 21504.
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 = 35537536548864/(1x21504)
LCM = 35537536548864/21504
LCM = 1652601216
Thus, we can understand that the LCM of 896,381,376,672,412 is 1652601216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 896, 381, 376, 672, 412
1. What is the LCM of 896, 381, 376, 672, 412?
Answer: LCM of 896, 381, 376, 672, 412 is 1652601216.
2. How to calculate the LCM of 896, 381, 376, 672, 412?
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 896, 381, 376, 672, 412.
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}.