LCM of 587, 352, 605, 872, 125
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 352, 605, 872, 125 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, 352, 605, 872, 125. So, keep reading to learn more.
Given numbers are 587,352,605,872,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,352,605,872,125 is 30967772000.
Find LCM of 587,352,605,872,125 with Prime Factorization
| 2 | 587, 352, 605, 872, 125 |
| 2 | 587, 176, 605, 436, 125 |
| 2 | 587, 88, 605, 218, 125 |
| 5 | 587, 44, 605, 109, 125 |
| 11 | 587, 44, 121, 109, 25 |
| 587, 4, 11, 109, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 587 x 4 x 11 x 109 x 25 = 30967772000
Therefore, the lowest common multiple of 587,352,605,872,125 is 30967772000.
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 352 x 605 x 872 x 125 = 13625819680000
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
605 : 1, 5, 11, 55, 121, 605
872 : 1, 2, 4, 8, 109, 218, 436, 872
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,352,605,872,125, is 1.
Now, the common factors can be found like this.
587:587
352:2x 2x 2x 2x 2x 11
605:5x 11x 11
872:2x 2x 2x 109
125:5x 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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 13625819680000/(1x440)
LCM = 13625819680000/440
LCM = 30967772000
Thus, we can understand that the LCM of 587,352,605,872,125 is 30967772000.
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FAQs on LCM of 587, 352, 605, 872, 125
1. What is the LCM of 587, 352, 605, 872, 125?
Answer: LCM of 587, 352, 605, 872, 125 is 30967772000.
2. How to calculate the LCM of 587, 352, 605, 872, 125?
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, 352, 605, 872, 125.
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}.