LCM of 478, 108, 105, 288, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 108, 105, 288, 203 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 478, 108, 105, 288, 203. So, keep reading to learn more.
Given numbers are 478,108,105,288,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,108,105,288,203 is 209593440.
Find LCM of 478,108,105,288,203 with Prime Factorization
| 2 | 478, 108, 105, 288, 203 |
| 2 | 239, 54, 105, 144, 203 |
| 3 | 239, 27, 105, 72, 203 |
| 3 | 239, 9, 35, 24, 203 |
| 7 | 239, 3, 35, 8, 203 |
| 239, 3, 5, 8, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 239 x 3 x 5 x 8 x 29 = 209593440
Therefore, the lowest common multiple of 478,108,105,288,203 is 209593440.
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.
478 x 108 x 105 x 288 x 203 = 316905281280
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.
478 : 1, 2, 239, 478
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
105 : 1, 3, 5, 7, 15, 21, 35, 105
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,108,105,288,203, is 1.
Now, the common factors can be found like this.
478:2x 239
108:2x 2x 3x 3x 3
105:3x 5x 7
288:2x 2x 2x 2x 2x 3x 3
203:7x 29
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 316905281280/(1x1512)
LCM = 316905281280/1512
LCM = 209593440
Thus, we can understand that the LCM of 478,108,105,288,203 is 209593440.
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FAQs on LCM of 478, 108, 105, 288, 203
1. What is the LCM of 478, 108, 105, 288, 203?
Answer: LCM of 478, 108, 105, 288, 203 is 209593440.
2. How to calculate the LCM of 478, 108, 105, 288, 203?
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 478, 108, 105, 288, 203.
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}.