Find the LCM of 789, 399, 654, 641 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 789, 399, 654, 641. So, keep reading to learn more.
Given numbers are 789,399,654,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,399,654,641 is 14663686506.
Find LCM of 789,399,654,641 with Prime Factorization
3 | 789, 399, 654, 641 |
263, 133, 218, 641 |
Multiply the prime numbers at the bottom and the left side.
3 x 263 x 133 x 218 x 641 = 14663686506
Therefore, the lowest common multiple of 789,399,654,641 is 14663686506.
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.
789 x 399 x 654 x 641 = 131973178554
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.
789 : 1, 3, 263, 789
399 : 1, 3, 7, 19, 21, 57, 133, 399
654 : 1, 2, 3, 6, 109, 218, 327, 654
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,399,654,641, is 1.
Now, the common factors can be found like this.
789:3x 263
399:3x 7x 19
654:2x 3x 109
641:641
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 131973178554/(1x9)
LCM = 131973178554/9
LCM = 14663686506
Thus, we can understand that the LCM of 789,399,654,641 is 14663686506.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 789, 399, 654, 641?
Answer: LCM of 789, 399, 654, 641 is 14663686506.
2. How to calculate the LCM of 789, 399, 654, 641?
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 789, 399, 654, 641.
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}.