Find the LCM of 765, 678, 690, 783, 399 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 765, 678, 690, 783, 399. So, keep reading to learn more.
Given numbers are 765,678,690,783,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,678,690,783,399 is 46011734370.
Find LCM of 765,678,690,783,399 with Prime Factorization
2 | 765, 678, 690, 783, 399 |
3 | 765, 339, 345, 783, 399 |
3 | 255, 113, 115, 261, 133 |
5 | 85, 113, 115, 87, 133 |
17, 113, 23, 87, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 113 x 23 x 87 x 133 = 46011734370
Therefore, the lowest common multiple of 765,678,690,783,399 is 46011734370.
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.
765 x 678 x 690 x 783 x 399 = 111808514519100
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
678 : 1, 2, 3, 6, 113, 226, 339, 678
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
783 : 1, 3, 9, 27, 29, 87, 261, 783
399 : 1, 3, 7, 19, 21, 57, 133, 399
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,678,690,783,399, is 3.
Now, the common factors can be found like this.
765:3x 3x 5x 17
678:2x 3x 113
690:2x 3x 5x 23
783:3x 3x 3x 29
399:3x 7x 19
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 = 111808514519100/(3x810)
LCM = 111808514519100/2430
LCM = 46011734370
Thus, we can understand that the LCM of 765,678,690,783,399 is 46011734370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 678, 690, 783, 399?
Answer: LCM of 765, 678, 690, 783, 399 is 46011734370.
2. How to calculate the LCM of 765, 678, 690, 783, 399?
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 765, 678, 690, 783, 399.
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}.