LCM of 324, 435, 874, 822, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 435, 874, 822, 532 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 324, 435, 874, 822, 532. So, keep reading to learn more.
Given numbers are 324,435,874,822,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,435,874,822,532 is 19688519340.
Find LCM of 324,435,874,822,532 with Prime Factorization
| 2 | 324, 435, 874, 822, 532 |
| 2 | 162, 435, 437, 411, 266 |
| 3 | 81, 435, 437, 411, 133 |
| 19 | 27, 145, 437, 137, 133 |
| 27, 145, 23, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 27 x 145 x 23 x 137 x 7 = 19688519340
Therefore, the lowest common multiple of 324,435,874,822,532 is 19688519340.
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.
324 x 435 x 874 x 822 x 532 = 53867788914240
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
435 : 1, 3, 5, 15, 29, 87, 145, 435
874 : 1, 2, 19, 23, 38, 46, 437, 874
822 : 1, 2, 3, 6, 137, 274, 411, 822
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,435,874,822,532, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
435:3x 5x 29
874:2x 19x 23
822:2x 3x 137
532:2x 2x 7x 19
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 2x 2x 3x 3x 19 = 2736
Therefore, the value for common factors is 2736.
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 = 53867788914240/(1x2736)
LCM = 53867788914240/2736
LCM = 19688519340
Thus, we can understand that the LCM of 324,435,874,822,532 is 19688519340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 324, 435, 874, 822, 532
1. What is the LCM of 324, 435, 874, 822, 532?
Answer: LCM of 324, 435, 874, 822, 532 is 19688519340.
2. How to calculate the LCM of 324, 435, 874, 822, 532?
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 324, 435, 874, 822, 532.
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}.