LCM of 328, 900, 815, 695, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 900, 815, 695, 611 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 328, 900, 815, 695, 611. So, keep reading to learn more.
Given numbers are 328,900,815,695,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,900,815,695,611 is 1021644912600.
Find LCM of 328,900,815,695,611 with Prime Factorization
| 2 | 328, 900, 815, 695, 611 |
| 2 | 164, 450, 815, 695, 611 |
| 5 | 82, 225, 815, 695, 611 |
| 82, 45, 163, 139, 611 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 82 x 45 x 163 x 139 x 611 = 1021644912600
Therefore, the lowest common multiple of 328,900,815,695,611 is 1021644912600.
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.
328 x 900 x 815 x 695 x 611 = 102164491260000
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
815 : 1, 5, 163, 815
695 : 1, 5, 139, 695
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,900,815,695,611, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
900:2x 2x 3x 3x 5x 5
815:5x 163
695:5x 139
611:13x 47
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 102164491260000/(1x100)
LCM = 102164491260000/100
LCM = 1021644912600
Thus, we can understand that the LCM of 328,900,815,695,611 is 1021644912600.
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FAQs on LCM of 328, 900, 815, 695, 611
1. What is the LCM of 328, 900, 815, 695, 611?
Answer: LCM of 328, 900, 815, 695, 611 is 1021644912600.
2. How to calculate the LCM of 328, 900, 815, 695, 611?
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 328, 900, 815, 695, 611.
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}.