LCM of 324, 571, 144, 989, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 571, 144, 989, 920 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, 571, 144, 989, 920. So, keep reading to learn more.
Given numbers are 324,571,144,989,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,571,144,989,920 is 3659379120.
Find LCM of 324,571,144,989,920 with Prime Factorization
| 2 | 324, 571, 144, 989, 920 |
| 2 | 162, 571, 72, 989, 460 |
| 2 | 81, 571, 36, 989, 230 |
| 3 | 81, 571, 18, 989, 115 |
| 3 | 27, 571, 6, 989, 115 |
| 23 | 9, 571, 2, 989, 115 |
| 9, 571, 2, 43, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 23 x 9 x 571 x 2 x 43 x 5 = 3659379120
Therefore, the lowest common multiple of 324,571,144,989,920 is 3659379120.
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 571 x 144 x 989 x 920 = 24239727290880
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
571 : 1, 571
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
989 : 1, 23, 43, 989
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,571,144,989,920, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
571:571
144:2x 2x 2x 2x 3x 3
989:23x 43
920:2x 2x 2x 5x 23
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 2x 3x 3x 23 = 6624
Therefore, the value for common factors is 6624.
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 = 24239727290880/(1x6624)
LCM = 24239727290880/6624
LCM = 3659379120
Thus, we can understand that the LCM of 324,571,144,989,920 is 3659379120.
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, 571, 144, 989, 920
1. What is the LCM of 324, 571, 144, 989, 920?
Answer: LCM of 324, 571, 144, 989, 920 is 3659379120.
2. How to calculate the LCM of 324, 571, 144, 989, 920?
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, 571, 144, 989, 920.
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}.