LCM of 867, 713, 867, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 713, 867, 990 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 867, 713, 867, 990. So, keep reading to learn more.
Given numbers are 867,713,867,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,713,867,990 is 203996430.
Find LCM of 867,713,867,990 with Prime Factorization
| 3 | 867, 713, 867, 990 |
| 17 | 289, 713, 289, 330 |
| 17 | 17, 713, 17, 330 |
| 1, 713, 1, 330 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 17 x 1 x 713 x 1 x 330 = 203996430
Therefore, the lowest common multiple of 867,713,867,990 is 203996430.
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.
867 x 713 x 867 x 990 = 530594714430
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.
867 : 1, 3, 17, 51, 289, 867
713 : 1, 23, 31, 713
867 : 1, 3, 17, 51, 289, 867
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,713,867,990, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
713:23x 31
867:3x 17x 17
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 17 = 2601
Therefore, the value for common factors is 2601.
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 = 530594714430/(1x2601)
LCM = 530594714430/2601
LCM = 203996430
Thus, we can understand that the LCM of 867,713,867,990 is 203996430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 713, 867, 990
1. What is the LCM of 867, 713, 867, 990?
Answer: LCM of 867, 713, 867, 990 is 203996430.
2. How to calculate the LCM of 867, 713, 867, 990?
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 867, 713, 867, 990.
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}.