LCM of 332, 390, 831, 589, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 390, 831, 589, 375 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 332, 390, 831, 589, 375. So, keep reading to learn more.
Given numbers are 332,390,831,589,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,390,831,589,375 is 264063130500.
Find LCM of 332,390,831,589,375 with Prime Factorization
| 2 | 332, 390, 831, 589, 375 |
| 3 | 166, 195, 831, 589, 375 |
| 5 | 166, 65, 277, 589, 125 |
| 166, 13, 277, 589, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 166 x 13 x 277 x 589 x 25 = 264063130500
Therefore, the lowest common multiple of 332,390,831,589,375 is 264063130500.
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.
332 x 390 x 831 x 589 x 375 = 23765681745000
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.
332 : 1, 2, 4, 83, 166, 332
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
831 : 1, 3, 277, 831
589 : 1, 19, 31, 589
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,390,831,589,375, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
390:2x 3x 5x 13
831:3x 277
589:19x 31
375:3x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 23765681745000/(1x90)
LCM = 23765681745000/90
LCM = 264063130500
Thus, we can understand that the LCM of 332,390,831,589,375 is 264063130500.
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FAQs on LCM of 332, 390, 831, 589, 375
1. What is the LCM of 332, 390, 831, 589, 375?
Answer: LCM of 332, 390, 831, 589, 375 is 264063130500.
2. How to calculate the LCM of 332, 390, 831, 589, 375?
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 332, 390, 831, 589, 375.
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}.