LCM of 324, 813, 532, 589, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 813, 532, 589, 711 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, 813, 532, 589, 711. So, keep reading to learn more.
Given numbers are 324,813,532,589,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,813,532,589,711 is 28599255468.
Find LCM of 324,813,532,589,711 with Prime Factorization
| 2 | 324, 813, 532, 589, 711 |
| 2 | 162, 813, 266, 589, 711 |
| 3 | 81, 813, 133, 589, 711 |
| 3 | 27, 271, 133, 589, 237 |
| 19 | 9, 271, 133, 589, 79 |
| 9, 271, 7, 31, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 9 x 271 x 7 x 31 x 79 = 28599255468
Therefore, the lowest common multiple of 324,813,532,589,711 is 28599255468.
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 813 x 532 x 589 x 711 = 58685672220336
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
813 : 1, 3, 271, 813
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
589 : 1, 19, 31, 589
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,813,532,589,711, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
813:3x 271
532:2x 2x 7x 19
589:19x 31
711:3x 3x 79
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 19 = 2052
Therefore, the value for common factors is 2052.
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 = 58685672220336/(1x2052)
LCM = 58685672220336/2052
LCM = 28599255468
Thus, we can understand that the LCM of 324,813,532,589,711 is 28599255468.
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FAQs on LCM of 324, 813, 532, 589, 711
1. What is the LCM of 324, 813, 532, 589, 711?
Answer: LCM of 324, 813, 532, 589, 711 is 28599255468.
2. How to calculate the LCM of 324, 813, 532, 589, 711?
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, 813, 532, 589, 711.
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}.