LCM of 896, 228, 480, 154, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 228, 480, 154, 395 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, 228, 480, 154, 395. So, keep reading to learn more.
Given numbers are 896,228,480,154,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,228,480,154,395 is 221907840.
Find LCM of 896,228,480,154,395 with Prime Factorization
| 2 | 896, 228, 480, 154, 395 |
| 2 | 448, 114, 240, 77, 395 |
| 2 | 224, 57, 120, 77, 395 |
| 2 | 112, 57, 60, 77, 395 |
| 2 | 56, 57, 30, 77, 395 |
| 3 | 28, 57, 15, 77, 395 |
| 5 | 28, 19, 5, 77, 395 |
| 7 | 28, 19, 1, 77, 79 |
| 4, 19, 1, 11, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 4 x 19 x 1 x 11 x 79 = 221907840
Therefore, the lowest common multiple of 896,228,480,154,395 is 221907840.
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 228 x 480 x 154 x 395 = 5964882739200
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,228,480,154,395, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
228:2x 2x 3x 19
480:2x 2x 2x 2x 2x 3x 5
154:2x 7x 11
395:5x 79
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 3x 5x 7 = 26880
Therefore, the value for common factors is 26880.
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 = 5964882739200/(1x26880)
LCM = 5964882739200/26880
LCM = 221907840
Thus, we can understand that the LCM of 896,228,480,154,395 is 221907840.
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FAQs on LCM of 896, 228, 480, 154, 395
1. What is the LCM of 896, 228, 480, 154, 395?
Answer: LCM of 896, 228, 480, 154, 395 is 221907840.
2. How to calculate the LCM of 896, 228, 480, 154, 395?
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, 228, 480, 154, 395.
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}.