LCM of 380, 382, 228, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 382, 228, 920 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 380, 382, 228, 920. So, keep reading to learn more.
Given numbers are 380,382,228,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,382,228,920 is 10016040.
Find LCM of 380,382,228,920 with Prime Factorization
| 2 | 380, 382, 228, 920 |
| 2 | 190, 191, 114, 460 |
| 5 | 95, 191, 57, 230 |
| 19 | 19, 191, 57, 46 |
| 1, 191, 3, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 1 x 191 x 3 x 46 = 10016040
Therefore, the lowest common multiple of 380,382,228,920 is 10016040.
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.
380 x 382 x 228 x 920 = 30448761600
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
382 : 1, 2, 191, 382
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,382,228,920, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
382:2x 191
228:2x 2x 3x 19
920:2x 2x 2x 5x 23
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 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 30448761600/(2x1520)
LCM = 30448761600/3040
LCM = 10016040
Thus, we can understand that the LCM of 380,382,228,920 is 10016040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 382, 228, 920
1. What is the LCM of 380, 382, 228, 920?
Answer: LCM of 380, 382, 228, 920 is 10016040.
2. How to calculate the LCM of 380, 382, 228, 920?
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 380, 382, 228, 920.
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}.