LCM of 339, 576, 624, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 576, 624, 900 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 339, 576, 624, 900. So, keep reading to learn more.
Given numbers are 339,576,624,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,576,624,900 is 21153600.
Find LCM of 339,576,624,900 with Prime Factorization
| 2 | 339, 576, 624, 900 |
| 2 | 339, 288, 312, 450 |
| 2 | 339, 144, 156, 225 |
| 2 | 339, 72, 78, 225 |
| 3 | 339, 36, 39, 225 |
| 3 | 113, 12, 13, 75 |
| 113, 4, 13, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 113 x 4 x 13 x 25 = 21153600
Therefore, the lowest common multiple of 339,576,624,900 is 21153600.
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.
339 x 576 x 624 x 900 = 109660262400
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.
339 : 1, 3, 113, 339
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,576,624,900, is 3.
Now, the common factors can be found like this.
339:3x 113
576:2x 2x 2x 2x 2x 2x 3x 3
624:2x 2x 2x 2x 3x 13
900:2x 2x 3x 3x 5x 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 3 = 1728
Therefore, the value for common factors is 1728.
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 = 109660262400/(3x1728)
LCM = 109660262400/5184
LCM = 21153600
Thus, we can understand that the LCM of 339,576,624,900 is 21153600.
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FAQs on LCM of 339, 576, 624, 900
1. What is the LCM of 339, 576, 624, 900?
Answer: LCM of 339, 576, 624, 900 is 21153600.
2. How to calculate the LCM of 339, 576, 624, 900?
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 339, 576, 624, 900.
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}.