Find the LCM of 817, 855, 720, 990, 679 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 817, 855, 720, 990, 679. So, keep reading to learn more.
Given numbers are 817,855,720,990,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,855,720,990,679 is 4393564560.
Find LCM of 817,855,720,990,679 with Prime Factorization
2 | 817, 855, 720, 990, 679 |
3 | 817, 855, 360, 495, 679 |
3 | 817, 285, 120, 165, 679 |
5 | 817, 95, 40, 55, 679 |
19 | 817, 19, 8, 11, 679 |
43, 1, 8, 11, 679 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 43 x 1 x 8 x 11 x 679 = 4393564560
Therefore, the lowest common multiple of 817,855,720,990,679 is 4393564560.
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.
817 x 855 x 720 x 990 x 679 = 338084792892000
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.
817 : 1, 19, 43, 817
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,855,720,990,679, is 1.
Now, the common factors can be found like this.
817:19x 43
855:3x 3x 5x 19
720:2x 2x 2x 2x 3x 3x 5
990:2x 3x 3x 5x 11
679:7x 97
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 5x 5x 19 = 76950
Therefore, the value for common factors is 76950.
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 = 338084792892000/(1x76950)
LCM = 338084792892000/76950
LCM = 4393564560
Thus, we can understand that the LCM of 817,855,720,990,679 is 4393564560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 817, 855, 720, 990, 679?
Answer: LCM of 817, 855, 720, 990, 679 is 4393564560.
2. How to calculate the LCM of 817, 855, 720, 990, 679?
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 817, 855, 720, 990, 679.
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}.