LCM of 380, 748, 288, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 748, 288, 255 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, 748, 288, 255. So, keep reading to learn more.
Given numbers are 380,748,288,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,748,288,255 is 5116320.
Find LCM of 380,748,288,255 with Prime Factorization
| 2 | 380, 748, 288, 255 |
| 2 | 190, 374, 144, 255 |
| 3 | 95, 187, 72, 255 |
| 5 | 95, 187, 24, 85 |
| 17 | 19, 187, 24, 17 |
| 19, 11, 24, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 19 x 11 x 24 x 1 = 5116320
Therefore, the lowest common multiple of 380,748,288,255 is 5116320.
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 748 x 288 x 255 = 20874585600
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,748,288,255, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
748:2x 2x 11x 17
288:2x 2x 2x 2x 2x 3x 3
255:3x 5x 17
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 3x 5x 17 = 4080
Therefore, the value for common factors is 4080.
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 = 20874585600/(1x4080)
LCM = 20874585600/4080
LCM = 5116320
Thus, we can understand that the LCM of 380,748,288,255 is 5116320.
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FAQs on LCM of 380, 748, 288, 255
1. What is the LCM of 380, 748, 288, 255?
Answer: LCM of 380, 748, 288, 255 is 5116320.
2. How to calculate the LCM of 380, 748, 288, 255?
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, 748, 288, 255.
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}.