LCM of 747, 204, 189, 200, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 204, 189, 200, 523 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 747, 204, 189, 200, 523. So, keep reading to learn more.
Given numbers are 747,204,189,200,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,204,189,200,523 is 27894623400.
Find LCM of 747,204,189,200,523 with Prime Factorization
| 2 | 747, 204, 189, 200, 523 |
| 2 | 747, 102, 189, 100, 523 |
| 3 | 747, 51, 189, 50, 523 |
| 3 | 249, 17, 63, 50, 523 |
| 83, 17, 21, 50, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 83 x 17 x 21 x 50 x 523 = 27894623400
Therefore, the lowest common multiple of 747,204,189,200,523 is 27894623400.
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.
747 x 204 x 189 x 200 x 523 = 3012619327200
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.
747 : 1, 3, 9, 83, 249, 747
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
189 : 1, 3, 7, 9, 21, 27, 63, 189
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,204,189,200,523, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
204:2x 2x 3x 17
189:3x 3x 3x 7
200:2x 2x 2x 5x 5
523:523
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 3012619327200/(1x108)
LCM = 3012619327200/108
LCM = 27894623400
Thus, we can understand that the LCM of 747,204,189,200,523 is 27894623400.
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FAQs on LCM of 747, 204, 189, 200, 523
1. What is the LCM of 747, 204, 189, 200, 523?
Answer: LCM of 747, 204, 189, 200, 523 is 27894623400.
2. How to calculate the LCM of 747, 204, 189, 200, 523?
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 747, 204, 189, 200, 523.
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}.