LCM of 867, 262, 798, 741, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 262, 798, 741, 509 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, 262, 798, 741, 509. So, keep reading to learn more.
Given numbers are 867,262,798,741,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,262,798,741,509 is 199909376394.
Find LCM of 867,262,798,741,509 with Prime Factorization
| 2 | 867, 262, 798, 741, 509 |
| 3 | 867, 131, 399, 741, 509 |
| 19 | 289, 131, 133, 247, 509 |
| 289, 131, 7, 13, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 289 x 131 x 7 x 13 x 509 = 199909376394
Therefore, the lowest common multiple of 867,262,798,741,509 is 199909376394.
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 262 x 798 x 741 x 509 = 68369006726748
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
262 : 1, 2, 131, 262
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
741 : 1, 3, 13, 19, 39, 57, 247, 741
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,262,798,741,509, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
262:2x 131
798:2x 3x 7x 19
741:3x 13x 19
509:509
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 19 = 342
Therefore, the value for common factors is 342.
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 = 68369006726748/(1x342)
LCM = 68369006726748/342
LCM = 199909376394
Thus, we can understand that the LCM of 867,262,798,741,509 is 199909376394.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 867, 262, 798, 741, 509
1. What is the LCM of 867, 262, 798, 741, 509?
Answer: LCM of 867, 262, 798, 741, 509 is 199909376394.
2. How to calculate the LCM of 867, 262, 798, 741, 509?
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, 262, 798, 741, 509.
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}.