LCM of 828, 765, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 765, 678 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 828, 765, 678. So, keep reading to learn more.
Given numbers are 828,765,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,765,678 is 7952940.
Find LCM of 828,765,678 with Prime Factorization
| 2 | 828, 765, 678 |
| 3 | 414, 765, 339 |
| 3 | 138, 255, 113 |
| 46, 85, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 46 x 85 x 113 = 7952940
Therefore, the lowest common multiple of 828,765,678 is 7952940.
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.
828 x 765 x 678 = 429458760
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
678 : 1, 2, 3, 6, 113, 226, 339, 678
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,765,678, is 3.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
765:3x 3x 5x 17
678:2x 3x 113
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 3 = 18
Therefore, the value for common factors is 18.
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 = 429458760/(3x18)
LCM = 429458760/54
LCM = 7952940
Thus, we can understand that the LCM of 828,765,678 is 7952940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 828, 765, 678
1. What is the LCM of 828, 765, 678?
Answer: LCM of 828, 765, 678 is 7952940.
2. How to calculate the LCM of 828, 765, 678?
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 828, 765, 678.
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}.