LCM of 124, 306, 351, 900, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 306, 351, 900, 455 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 124, 306, 351, 900, 455. So, keep reading to learn more.
Given numbers are 124,306,351,900,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,306,351,900,455 is 129483900.
Find LCM of 124,306,351,900,455 with Prime Factorization
| 2 | 124, 306, 351, 900, 455 |
| 2 | 62, 153, 351, 450, 455 |
| 3 | 31, 153, 351, 225, 455 |
| 3 | 31, 51, 117, 75, 455 |
| 5 | 31, 17, 39, 25, 455 |
| 13 | 31, 17, 39, 5, 91 |
| 31, 17, 3, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 31 x 17 x 3 x 5 x 7 = 129483900
Therefore, the lowest common multiple of 124,306,351,900,455 is 129483900.
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.
124 x 306 x 351 x 900 x 455 = 5453861868000
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.
124 : 1, 2, 4, 31, 62, 124
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
351 : 1, 3, 9, 13, 27, 39, 117, 351
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,306,351,900,455, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
306:2x 3x 3x 17
351:3x 3x 3x 13
900:2x 2x 3x 3x 5x 5
455:5x 7x 13
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 3x 5x 13 = 42120
Therefore, the value for common factors is 42120.
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 = 5453861868000/(1x42120)
LCM = 5453861868000/42120
LCM = 129483900
Thus, we can understand that the LCM of 124,306,351,900,455 is 129483900.
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FAQs on LCM of 124, 306, 351, 900, 455
1. What is the LCM of 124, 306, 351, 900, 455?
Answer: LCM of 124, 306, 351, 900, 455 is 129483900.
2. How to calculate the LCM of 124, 306, 351, 900, 455?
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 124, 306, 351, 900, 455.
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}.