LCM of 144, 465, 624, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 465, 624, 180 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 144, 465, 624, 180. So, keep reading to learn more.
Given numbers are 144,465,624,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,465,624,180 is 290160.
Find LCM of 144,465,624,180 with Prime Factorization
| 2 | 144, 465, 624, 180 |
| 2 | 72, 465, 312, 90 |
| 2 | 36, 465, 156, 45 |
| 2 | 18, 465, 78, 45 |
| 3 | 9, 465, 39, 45 |
| 3 | 3, 155, 13, 15 |
| 5 | 1, 155, 13, 5 |
| 1, 31, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 31 x 13 x 1 = 290160
Therefore, the lowest common multiple of 144,465,624,180 is 290160.
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.
144 x 465 x 624 x 180 = 7520947200
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
465 : 1, 3, 5, 15, 31, 93, 155, 465
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,465,624,180, is 3.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
465:3x 5x 31
624:2x 2x 2x 2x 3x 13
180:2x 2x 3x 3x 5
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 3x 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 7520947200/(3x8640)
LCM = 7520947200/25920
LCM = 290160
Thus, we can understand that the LCM of 144,465,624,180 is 290160.
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FAQs on LCM of 144, 465, 624, 180
1. What is the LCM of 144, 465, 624, 180?
Answer: LCM of 144, 465, 624, 180 is 290160.
2. How to calculate the LCM of 144, 465, 624, 180?
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 144, 465, 624, 180.
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}.