LCM of 869, 567, 522, 348, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 567, 522, 348, 894 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 869, 567, 522, 348, 894. So, keep reading to learn more.
Given numbers are 869,567,522,348,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,567,522,348,894 is 8516224332.
Find LCM of 869,567,522,348,894 with Prime Factorization
| 2 | 869, 567, 522, 348, 894 |
| 3 | 869, 567, 261, 174, 447 |
| 3 | 869, 189, 87, 58, 149 |
| 29 | 869, 63, 29, 58, 149 |
| 869, 63, 1, 2, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 869 x 63 x 1 x 2 x 149 = 8516224332
Therefore, the lowest common multiple of 869,567,522,348,894 is 8516224332.
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.
869 x 567 x 522 x 348 x 894 = 80018443823472
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.
869 : 1, 11, 79, 869
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,567,522,348,894, is 1.
Now, the common factors can be found like this.
869:11x 79
567:3x 3x 3x 3x 7
522:2x 3x 3x 29
348:2x 2x 3x 29
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 29 = 9396
Therefore, the value for common factors is 9396.
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 = 80018443823472/(1x9396)
LCM = 80018443823472/9396
LCM = 8516224332
Thus, we can understand that the LCM of 869,567,522,348,894 is 8516224332.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 869, 567, 522, 348, 894
1. What is the LCM of 869, 567, 522, 348, 894?
Answer: LCM of 869, 567, 522, 348, 894 is 8516224332.
2. How to calculate the LCM of 869, 567, 522, 348, 894?
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 869, 567, 522, 348, 894.
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}.