LCM of 567, 288, 484, 568, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 288, 484, 568, 144 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 567, 288, 484, 568, 144. So, keep reading to learn more.
Given numbers are 567,288,484,568,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,288,484,568,144 is 155875104.
Find LCM of 567,288,484,568,144 with Prime Factorization
| 2 | 567, 288, 484, 568, 144 |
| 2 | 567, 144, 242, 284, 72 |
| 2 | 567, 36, 121, 142, 72 |
| 2 | 567, 18, 121, 71, 36 |
| 3 | 567, 9, 121, 71, 18 |
| 3 | 189, 3, 121, 71, 6 |
| 63, 1, 121, 71, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 63 x 1 x 121 x 71 x 2 = 155875104
Therefore, the lowest common multiple of 567,288,484,568,144 is 155875104.
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.
567 x 288 x 484 x 568 x 144 = 6464452313088
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
568 : 1, 2, 4, 8, 71, 142, 284, 568
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,288,484,568,144, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
288:2x 2x 2x 2x 2x 3x 3
484:2x 2x 11x 11
568:2x 2x 2x 71
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 3x 3x 3x 3 = 41472
Therefore, the value for common factors is 41472.
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 = 6464452313088/(1x41472)
LCM = 6464452313088/41472
LCM = 155875104
Thus, we can understand that the LCM of 567,288,484,568,144 is 155875104.
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FAQs on LCM of 567, 288, 484, 568, 144
1. What is the LCM of 567, 288, 484, 568, 144?
Answer: LCM of 567, 288, 484, 568, 144 is 155875104.
2. How to calculate the LCM of 567, 288, 484, 568, 144?
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 567, 288, 484, 568, 144.
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}.