LCM of 830, 425, 755, 408, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 425, 755, 408, 765 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 830, 425, 755, 408, 765. So, keep reading to learn more.
Given numbers are 830,425,755,408,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,425,755,408,765 is 383509800.
Find LCM of 830,425,755,408,765 with Prime Factorization
| 2 | 830, 425, 755, 408, 765 |
| 3 | 415, 425, 755, 204, 765 |
| 5 | 415, 425, 755, 68, 255 |
| 17 | 83, 85, 151, 68, 51 |
| 83, 5, 151, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 83 x 5 x 151 x 4 x 3 = 383509800
Therefore, the lowest common multiple of 830,425,755,408,765 is 383509800.
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.
830 x 425 x 755 x 408 x 765 = 83125749150000
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
425 : 1, 5, 17, 25, 85, 425
755 : 1, 5, 151, 755
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,425,755,408,765, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
425:5x 5x 17
755:5x 151
408:2x 2x 2x 3x 17
765:3x 3x 5x 17
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 5x 5x 5x 17x 17 = 216750
Therefore, the value for common factors is 216750.
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 = 83125749150000/(1x216750)
LCM = 83125749150000/216750
LCM = 383509800
Thus, we can understand that the LCM of 830,425,755,408,765 is 383509800.
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FAQs on LCM of 830, 425, 755, 408, 765
1. What is the LCM of 830, 425, 755, 408, 765?
Answer: LCM of 830, 425, 755, 408, 765 is 383509800.
2. How to calculate the LCM of 830, 425, 755, 408, 765?
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 830, 425, 755, 408, 765.
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}.