LCM of 321, 108, 622, 765, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 108, 622, 765, 525 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 321, 108, 622, 765, 525. So, keep reading to learn more.
Given numbers are 321,108,622,765,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,108,622,765,525 is 10691900100.
Find LCM of 321,108,622,765,525 with Prime Factorization
| 2 | 321, 108, 622, 765, 525 |
| 3 | 321, 54, 311, 765, 525 |
| 3 | 107, 18, 311, 255, 175 |
| 5 | 107, 6, 311, 85, 175 |
| 107, 6, 311, 17, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 107 x 6 x 311 x 17 x 35 = 10691900100
Therefore, the lowest common multiple of 321,108,622,765,525 is 10691900100.
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.
321 x 108 x 622 x 765 x 525 = 8660439081000
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.
321 : 1, 3, 107, 321
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
622 : 1, 2, 311, 622
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,108,622,765,525, is 1.
Now, the common factors can be found like this.
321:3x 107
108:2x 2x 3x 3x 3
622:2x 311
765:3x 3x 5x 17
525:3x 5x 5x 7
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 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 8660439081000/(1x810)
LCM = 8660439081000/810
LCM = 10691900100
Thus, we can understand that the LCM of 321,108,622,765,525 is 10691900100.
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FAQs on LCM of 321, 108, 622, 765, 525
1. What is the LCM of 321, 108, 622, 765, 525?
Answer: LCM of 321, 108, 622, 765, 525 is 10691900100.
2. How to calculate the LCM of 321, 108, 622, 765, 525?
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 321, 108, 622, 765, 525.
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}.