Find the LCM of 679, 899, 810, 651, 198 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 679, 899, 810, 651, 198. So, keep reading to learn more.
Given numbers are 679,899,810,651,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,899,810,651,198 is 5438851110.
Find LCM of 679,899,810,651,198 with Prime Factorization
2 | 679, 899, 810, 651, 198 |
3 | 679, 899, 405, 651, 99 |
3 | 679, 899, 135, 217, 33 |
7 | 679, 899, 45, 217, 11 |
31 | 97, 899, 45, 31, 11 |
97, 29, 45, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 31 x 97 x 29 x 45 x 1 x 11 = 5438851110
Therefore, the lowest common multiple of 679,899,810,651,198 is 5438851110.
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.
679 x 899 x 810 x 651 x 198 = 63732457306980
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.
679 : 1, 7, 97, 679
899 : 1, 29, 31, 899
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
651 : 1, 3, 7, 21, 31, 93, 217, 651
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,899,810,651,198, is 1.
Now, the common factors can be found like this.
679:7x 97
899:29x 31
810:2x 3x 3x 3x 3x 5
651:3x 7x 31
198:2x 3x 3x 11
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 7x 31 = 11718
Therefore, the value for common factors is 11718.
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 = 63732457306980/(1x11718)
LCM = 63732457306980/11718
LCM = 5438851110
Thus, we can understand that the LCM of 679,899,810,651,198 is 5438851110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 679, 899, 810, 651, 198?
Answer: LCM of 679, 899, 810, 651, 198 is 5438851110.
2. How to calculate the LCM of 679, 899, 810, 651, 198?
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 679, 899, 810, 651, 198.
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}.