LCM of 101, 419, 288, 208, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 419, 288, 208, 303 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 101, 419, 288, 208, 303. So, keep reading to learn more.
Given numbers are 101,419,288,208,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,419,288,208,303 is 158442336.
Find LCM of 101,419,288,208,303 with Prime Factorization
| 2 | 101, 419, 288, 208, 303 |
| 2 | 101, 419, 144, 104, 303 |
| 2 | 101, 419, 72, 52, 303 |
| 2 | 101, 419, 36, 26, 303 |
| 3 | 101, 419, 18, 13, 303 |
| 101 | 101, 419, 6, 13, 101 |
| 1, 419, 6, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 101 x 1 x 419 x 6 x 13 x 1 = 158442336
Therefore, the lowest common multiple of 101,419,288,208,303 is 158442336.
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.
101 x 419 x 288 x 208 x 303 = 768128444928
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.
101 : 1, 101
419 : 1, 419
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,419,288,208,303, is 1.
Now, the common factors can be found like this.
101:101
419:419
288:2x 2x 2x 2x 2x 3x 3
208:2x 2x 2x 2x 13
303:3x 101
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 101 = 4848
Therefore, the value for common factors is 4848.
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 = 768128444928/(1x4848)
LCM = 768128444928/4848
LCM = 158442336
Thus, we can understand that the LCM of 101,419,288,208,303 is 158442336.
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FAQs on LCM of 101, 419, 288, 208, 303
1. What is the LCM of 101, 419, 288, 208, 303?
Answer: LCM of 101, 419, 288, 208, 303 is 158442336.
2. How to calculate the LCM of 101, 419, 288, 208, 303?
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 101, 419, 288, 208, 303.
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}.