LCM of 828, 802, 869, 459, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 802, 869, 459, 667 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 828, 802, 869, 459, 667. So, keep reading to learn more.
Given numbers are 828,802,869,459,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,802,869,459,667 is 426739319028.
Find LCM of 828,802,869,459,667 with Prime Factorization
| 2 | 828, 802, 869, 459, 667 |
| 3 | 414, 401, 869, 459, 667 |
| 3 | 138, 401, 869, 153, 667 |
| 23 | 46, 401, 869, 51, 667 |
| 2, 401, 869, 51, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 2 x 401 x 869 x 51 x 29 = 426739319028
Therefore, the lowest common multiple of 828,802,869,459,667 is 426739319028.
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.
828 x 802 x 869 x 459 x 667 = 176670078077592
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
802 : 1, 2, 401, 802
869 : 1, 11, 79, 869
459 : 1, 3, 9, 17, 27, 51, 153, 459
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,802,869,459,667, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
802:2x 401
869:11x 79
459:3x 3x 3x 17
667:23x 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 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 176670078077592/(1x414)
LCM = 176670078077592/414
LCM = 426739319028
Thus, we can understand that the LCM of 828,802,869,459,667 is 426739319028.
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FAQs on LCM of 828, 802, 869, 459, 667
1. What is the LCM of 828, 802, 869, 459, 667?
Answer: LCM of 828, 802, 869, 459, 667 is 426739319028.
2. How to calculate the LCM of 828, 802, 869, 459, 667?
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 828, 802, 869, 459, 667.
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}.