LCM of 221, 963, 225, 875, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 963, 225, 875, 747 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 221, 963, 225, 875, 747. So, keep reading to learn more.
Given numbers are 221,963,225,875,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,963,225,875,747 is 15456270375.
Find LCM of 221,963,225,875,747 with Prime Factorization
| 3 | 221, 963, 225, 875, 747 |
| 3 | 221, 321, 75, 875, 249 |
| 5 | 221, 107, 25, 875, 83 |
| 5 | 221, 107, 5, 175, 83 |
| 221, 107, 1, 35, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 5 x 221 x 107 x 1 x 35 x 83 = 15456270375
Therefore, the lowest common multiple of 221,963,225,875,747 is 15456270375.
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.
221 x 963 x 225 x 875 x 747 = 31298947509375
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.
221 : 1, 13, 17, 221
963 : 1, 3, 9, 107, 321, 963
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
875 : 1, 5, 7, 25, 35, 125, 175, 875
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,963,225,875,747, is 1.
Now, the common factors can be found like this.
221:13x 17
963:3x 3x 107
225:3x 3x 5x 5
875:5x 5x 5x 7
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 31298947509375/(1x2025)
LCM = 31298947509375/2025
LCM = 15456270375
Thus, we can understand that the LCM of 221,963,225,875,747 is 15456270375.
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FAQs on LCM of 221, 963, 225, 875, 747
1. What is the LCM of 221, 963, 225, 875, 747?
Answer: LCM of 221, 963, 225, 875, 747 is 15456270375.
2. How to calculate the LCM of 221, 963, 225, 875, 747?
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 221, 963, 225, 875, 747.
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}.