Find the LCM of 659, 721, 644, 770, 406 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 659, 721, 644, 770, 406. So, keep reading to learn more.
Given numbers are 659,721,644,770,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,721,644,770,406 is 69721896860.
Find LCM of 659,721,644,770,406 with Prime Factorization
2 | 659, 721, 644, 770, 406 |
7 | 659, 721, 322, 385, 203 |
659, 103, 46, 55, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 659 x 103 x 46 x 55 x 29 = 69721896860
Therefore, the lowest common multiple of 659,721,644,770,406 is 69721896860.
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.
659 x 721 x 644 x 770 x 406 = 95658442491920
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.
659 : 1, 659
721 : 1, 7, 103, 721
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,721,644,770,406, is 1.
Now, the common factors can be found like this.
659:659
721:7x 103
644:2x 2x 7x 23
770:2x 5x 7x 11
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 95658442491920/(1x1372)
LCM = 95658442491920/1372
LCM = 69721896860
Thus, we can understand that the LCM of 659,721,644,770,406 is 69721896860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 721, 644, 770, 406?
Answer: LCM of 659, 721, 644, 770, 406 is 69721896860.
2. How to calculate the LCM of 659, 721, 644, 770, 406?
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 659, 721, 644, 770, 406.
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}.