LCM of 807, 765, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 765, 315 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 807, 765, 315. So, keep reading to learn more.
Given numbers are 807,765,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,765,315 is 1440495.
Find LCM of 807,765,315 with Prime Factorization
| 3 | 807, 765, 315 |
| 3 | 269, 255, 105 |
| 5 | 269, 85, 35 |
| 269, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 269 x 17 x 7 = 1440495
Therefore, the lowest common multiple of 807,765,315 is 1440495.
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.
807 x 765 x 315 = 194466825
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.
807 : 1, 3, 269, 807
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,765,315, is 3.
Now, the common factors can be found like this.
807:3x 269
765:3x 3x 5x 17
315:3x 3x 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.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 194466825/(3x45)
LCM = 194466825/135
LCM = 1440495
Thus, we can understand that the LCM of 807,765,315 is 1440495.
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FAQs on LCM of 807, 765, 315
1. What is the LCM of 807, 765, 315?
Answer: LCM of 807, 765, 315 is 1440495.
2. How to calculate the LCM of 807, 765, 315?
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 807, 765, 315.
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}.