LCM of 484, 225, 300, 561, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 225, 300, 561, 104 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 484, 225, 300, 561, 104. So, keep reading to learn more.
Given numbers are 484,225,300,561,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,225,300,561,104 is 48133800.
Find LCM of 484,225,300,561,104 with Prime Factorization
| 2 | 484, 225, 300, 561, 104 |
| 2 | 242, 225, 150, 561, 52 |
| 3 | 121, 225, 75, 561, 26 |
| 5 | 121, 25, 75, 187, 26 |
| 5 | 121, 5, 15, 187, 26 |
| 11 | 121, 1, 3, 187, 26 |
| 11, 1, 3, 17, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 11 x 1 x 3 x 17 x 26 = 48133800
Therefore, the lowest common multiple of 484,225,300,561,104 is 48133800.
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.
484 x 225 x 300 x 561 x 104 = 1906098480000
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
561 : 1, 3, 11, 17, 33, 51, 187, 561
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,225,300,561,104, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
225:3x 3x 5x 5
300:2x 2x 3x 5x 5
561:3x 11x 17
104:2x 2x 2x 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 2x 3x 3x 5x 5x 11 = 39600
Therefore, the value for common factors is 39600.
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 = 1906098480000/(1x39600)
LCM = 1906098480000/39600
LCM = 48133800
Thus, we can understand that the LCM of 484,225,300,561,104 is 48133800.
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FAQs on LCM of 484, 225, 300, 561, 104
1. What is the LCM of 484, 225, 300, 561, 104?
Answer: LCM of 484, 225, 300, 561, 104 is 48133800.
2. How to calculate the LCM of 484, 225, 300, 561, 104?
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 484, 225, 300, 561, 104.
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}.