LCM of 633, 728, 528, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 728, 528, 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 633, 728, 528, 144. So, keep reading to learn more.
Given numbers are 633,728,528,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,728,528,144 is 30414384.
Find LCM of 633,728,528,144 with Prime Factorization
| 2 | 633, 728, 528, 144 |
| 2 | 633, 364, 264, 72 |
| 2 | 633, 182, 132, 36 |
| 2 | 633, 91, 66, 18 |
| 3 | 633, 91, 33, 9 |
| 211, 91, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 211 x 91 x 11 x 3 = 30414384
Therefore, the lowest common multiple of 633,728,528,144 is 30414384.
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.
633 x 728 x 528 x 144 = 35037370368
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.
633 : 1, 3, 211, 633
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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 633,728,528,144, is 1.
Now, the common factors can be found like this.
633:3x 211
728:2x 2x 2x 7x 13
528:2x 2x 2x 2x 3x 11
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 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 35037370368/(1x1152)
LCM = 35037370368/1152
LCM = 30414384
Thus, we can understand that the LCM of 633,728,528,144 is 30414384.
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FAQs on LCM of 633, 728, 528, 144
1. What is the LCM of 633, 728, 528, 144?
Answer: LCM of 633, 728, 528, 144 is 30414384.
2. How to calculate the LCM of 633, 728, 528, 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 633, 728, 528, 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}.