LCM of 228, 160, 775, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 160, 775, 496 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 228, 160, 775, 496. So, keep reading to learn more.
Given numbers are 228,160,775,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,160,775,496 is 1413600.
Find LCM of 228,160,775,496 with Prime Factorization
| 2 | 228, 160, 775, 496 |
| 2 | 114, 80, 775, 248 |
| 2 | 57, 40, 775, 124 |
| 2 | 57, 20, 775, 62 |
| 5 | 57, 10, 775, 31 |
| 31 | 57, 2, 155, 31 |
| 57, 2, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 31 x 57 x 2 x 5 x 1 = 1413600
Therefore, the lowest common multiple of 228,160,775,496 is 1413600.
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.
228 x 160 x 775 x 496 = 14022912000
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
775 : 1, 5, 25, 31, 155, 775
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,160,775,496, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
160:2x 2x 2x 2x 2x 5
775:5x 5x 31
496:2x 2x 2x 2x 31
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 5x 31 = 9920
Therefore, the value for common factors is 9920.
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 = 14022912000/(1x9920)
LCM = 14022912000/9920
LCM = 1413600
Thus, we can understand that the LCM of 228,160,775,496 is 1413600.
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FAQs on LCM of 228, 160, 775, 496
1. What is the LCM of 228, 160, 775, 496?
Answer: LCM of 228, 160, 775, 496 is 1413600.
2. How to calculate the LCM of 228, 160, 775, 496?
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 228, 160, 775, 496.
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}.