LCM of 587, 436, 576, 504, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 436, 576, 504, 225 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 587, 436, 576, 504, 225. So, keep reading to learn more.
Given numbers are 587,436,576,504,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,436,576,504,225 is 6449486400.
Find LCM of 587,436,576,504,225 with Prime Factorization
| 2 | 587, 436, 576, 504, 225 |
| 2 | 587, 218, 288, 252, 225 |
| 2 | 587, 109, 144, 126, 225 |
| 3 | 587, 109, 72, 63, 225 |
| 3 | 587, 109, 24, 21, 75 |
| 587, 109, 8, 7, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 587 x 109 x 8 x 7 x 25 = 6449486400
Therefore, the lowest common multiple of 587,436,576,504,225 is 6449486400.
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.
587 x 436 x 576 x 504 x 225 = 16717068748800
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.
587 : 1, 587
436 : 1, 2, 4, 109, 218, 436
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,436,576,504,225, is 1.
Now, the common factors can be found like this.
587:587
436:2x 2x 109
576:2x 2x 2x 2x 2x 2x 3x 3
504:2x 2x 2x 3x 3x 7
225:3x 3x 5x 5
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 2x 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 16717068748800/(1x2592)
LCM = 16717068748800/2592
LCM = 6449486400
Thus, we can understand that the LCM of 587,436,576,504,225 is 6449486400.
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FAQs on LCM of 587, 436, 576, 504, 225
1. What is the LCM of 587, 436, 576, 504, 225?
Answer: LCM of 587, 436, 576, 504, 225 is 6449486400.
2. How to calculate the LCM of 587, 436, 576, 504, 225?
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 587, 436, 576, 504, 225.
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}.